Search a number
-
+
223152200520 = 233547149326501
BaseRepresentation
bin1100111111010011101…
…0000101101101001000
3210022222212020022221120
43033310322011231020
512124003430404040
6250303102035240
722056630256614
oct3176472055510
9708885208846
10223152200520
1186702666117
12372b9278b20
1318073a9aa02
14ab2ccac344
155c10cea7d0
hex33f4e85b48

223152200520 has 128 divisors (see below), whose sum is σ = 684184112640. Its totient is φ = 58199936000.

The previous prime is 223152200519. The next prime is 223152200563. The reversal of 223152200520 is 25002251322.

It is a super-3 number, since 3×2231522005203 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 8407270 + ... + 8433770.

It is an arithmetic number, because the mean of its divisors is an integer number (5345188380).

Almost surely, 2223152200520 is an apocalyptic number.

223152200520 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 223152200520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342092056320).

223152200520 is an abundant number, since it is smaller than the sum of its proper divisors (461031912120).

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

223152200520 is a wasteful number, since it uses less digits than its factorization.

223152200520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28055 (or 28051 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 223152200520 its reverse (25002251322), we get a palindrome (248154451842).

The spelling of 223152200520 in words is "two hundred twenty-three billion, one hundred fifty-two million, two hundred thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1493 1880 2820 2986 4479 5640 5972 7465 8958 11944 14930 17916 22395 26501 29860 35832 44790 53002 59720 70171 79503 89580 106004 132505 140342 159006 179160 210513 212008 265010 280684 318012 350855 397515 421026 530020 561368 636024 701710 795030 842052 1052565 1060040 1245547 1403420 1590060 1684104 2105130 2491094 2806840 3180120 3736641 4210260 4982188 6227735 7473282 8420520 9964376 12455470 14946564 18683205 24910940 29893128 37366410 39565993 49821880 74732820 79131986 118697979 149465640 158263972 197829965 237395958 316527944 395659930 474791916 593489895 791319860 949583832 1186979790 1582639720 1859601671 2373959580 3719203342 4747919160 5578805013 7438406684 9298008355 11157610026 14876813368 18596016710 22315220052 27894025065 37192033420 44630440104 55788050130 74384066840 111576100260 223152200520