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220031205192 = 2334184272
BaseRepresentation
bin1100110011101011100…
…0011011111101001000
3210000221100112100020000
43030322320123331020
512101110442031232
6245025252203000
721616402246101
oct3147270337510
9700840470200
10220031205192
1185350974137
1236788009460
1317997301506
14a9145ab3a8
155acbd0627c
hex333ae1bf48

220031205192 has 60 divisors (see below), whose sum is σ = 616324553955. Its totient is φ = 73339754832.

The previous prime is 220031205181. The next prime is 220031205211. The reversal of 220031205192 is 291502130022.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

220031205192 is a `hidden beast` number, since 2 + 20 + 0 + 3 + 120 + 519 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 110015602596 + 110015602596 = 331686^2 + 331686^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=331686.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11931483 + ... + 11949909.

Almost surely, 2220031205192 is an apocalyptic number.

It is an amenable number.

220031205192 is an abundant number, since it is smaller than the sum of its proper divisors (396293348763).

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

220031205192 is an frugal number, since it uses more digits than its factorization.

220031205192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36872 (or 18432 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 220031205192 in words is "two hundred twenty billion, thirty-one million, two hundred five thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 18427 36854 55281 73708 110562 147416 165843 221124 331686 442248 497529 663372 995058 1326744 1492587 1990116 2985174 3980232 5970348 11940696 339554329 679108658 1018662987 1358217316 2037325974 2716434632 3055988961 4074651948 6111977922 8149303896 9167966883 12223955844 18335933766 24447911688 27503900649 36671867532 55007801298 73343735064 110015602596 220031205192