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231222222313000 = 23534993229143503
BaseRepresentation
bin110100100100101110011110…
…011011001101011000101000
31010022200121222020020101121121
4310210232132123031120220
5220301321102403004000
62135434004510345024
766463153135164442
oct6444563633153050
91108617866211547
10231222222313000
11677468805aa126
1221b244ba4bb174
139c03214c05259
1441153029c9492
151bae949947b1a
hexd24b9e6cd628

231222222313000 has 128 divisors (see below), whose sum is σ = 542315966400000. Its totient is φ = 92274311635200.

The previous prime is 231222222312997. The next prime is 231222222313081. The reversal of 231222222313000 is 313222222132.

231222222313000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2312222223130003 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1611199249 + ... + 1611342751.

It is an arithmetic number, because the mean of its divisors is an integer number (4236843487500).

Almost surely, 2231222222313000 is an apocalyptic number.

231222222313000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231222222313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271157983200000).

231222222313000 is an abundant number, since it is smaller than the sum of its proper divisors (311093744087000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231222222313000 is a wasteful number, since it uses less digits than its factorization.

231222222313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147252 (or 147238 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 231222222313000 its reverse (313222222132), we get a palindrome (231535444535132).

The spelling of 231222222313000 in words is "two hundred thirty-one trillion, two hundred twenty-two billion, two hundred twenty-two million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 499 500 998 1000 1996 2495 3229 3992 4990 6458 9980 12475 12916 16145 19960 24950 25832 32290 49900 62375 64580 80725 99800 124750 129160 143503 161450 249500 287006 322900 403625 499000 574012 645800 717515 807250 1148024 1435030 1611271 1614500 2870060 3222542 3229000 3587575 5740120 6445084 7175150 8056355 12890168 14350300 16112710 17937875 28700600 32225420 35875750 40281775 64450840 71607997 71751500 80563550 143215994 143503000 161127100 201408875 286431988 322254200 358039985 402817750 463371187 572863976 716079970 805635500 926742374 1432159940 1611271000 1790199925 1853484748 2316855935 2864319880 3580399850 3706969496 4633711870 7160799700 8950999625 9267423740 11584279675 14321599400 17901999250 18534847480 23168559350 35803998500 46337118700 57921398375 71607997000 92674237400 115842796750 231222222313 231685593500 462444444626 463371187000 924888889252 1156111111565 1849777778504 2312222223130 4624444446260 5780555557825 9248888892520 11561111115650 23122222231300 28902777789125 46244444462600 57805555578250 115611111156500 231222222313000