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222213310020 = 2232513227418339
BaseRepresentation
bin1100111011110011110…
…0100000011001000100
3210020120102112202022100
43032330330200121010
512120043101410040
6250030002232100
722024436653542
oct3167474403104
9706512482270
10222213310020
1186270690859
1237096955630
1317c544087c0
14aa8030ad92
155ba868ab30
hex33bcf20644

222213310020 has 144 divisors (see below), whose sum is σ = 729096338880. Its totient is φ = 54457567488.

The previous prime is 222213310013. The next prime is 222213310027. The reversal of 222213310020 is 20013312222.

It is an interprime number because it is at equal distance from previous prime (222213310013) and next prime (222213310027).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222213309975 and 222213310002.

It is not an unprimeable number, because it can be changed into a prime (222213310027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322011 + ... + 740349.

It is an arithmetic number, because the mean of its divisors is an integer number (5063169020).

Almost surely, 2222213310020 is an apocalyptic number.

222213310020 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 222213310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364548169440).

222213310020 is an abundant number, since it is smaller than the sum of its proper divisors (506883028860).

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

222213310020 is a wasteful number, since it uses less digits than its factorization.

222213310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418594 (or 418589 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 222213310020 its reverse (20013312222), we get a palindrome (242226622242).

The spelling of 222213310020 in words is "two hundred twenty-two billion, two hundred thirteen million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 227 234 260 390 454 468 585 681 780 908 1135 1170 1362 2043 2270 2340 2724 2951 3405 4086 4540 5902 6810 8172 8853 10215 11804 13620 14755 17706 20430 26559 29510 35412 40860 44265 53118 59020 88530 106236 132795 177060 265590 418339 531180 836678 1255017 1673356 2091695 2510034 3765051 4183390 5020068 5438407 6275085 7530102 8366780 10876814 12550170 15060204 16315221 18825255 21753628 25100340 27192035 32630442 37650510 48945663 54384070 65260884 75301020 81576105 94962953 97891326 108768140 163152210 189925906 195782652 244728315 284888859 326304420 379851812 474814765 489456630 569777718 854666577 949629530 978913260 1139555436 1234518389 1424444295 1709333154 1899259060 2469036778 2848888590 3418666308 3703555167 4273332885 4938073556 5697777180 6172591945 7407110334 8546665770 11110665501 12345183890 14814220668 17093331540 18517775835 22221331002 24690367780 37035551670 44442662004 55553327505 74071103340 111106655010 222213310020