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234505724220 = 2232513003100193
BaseRepresentation
bin1101101001100110100…
…0010110000100111100
3211102022002220002112100
43122121220112010330
512320231431133340
6255421435305100
722641161524035
oct3323150260474
9742262802470
10234505724220
11904a9405559
12395475ab190
1319163013381
14b4c8ac5a8c
15617791c830
hex3699a1613c

234505724220 has 72 divisors (see below), whose sum is σ = 711395835696. Its totient is φ = 62529426432.

The previous prime is 234505724197. The next prime is 234505724237. The reversal of 234505724220 is 22427505432.

234505724220 is a `hidden beast` number, since 2 + 3 + 45 + 0 + 572 + 42 + 2 + 0 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2290444 + ... + 2390636.

It is an arithmetic number, because the mean of its divisors is an integer number (9880497718).

Almost surely, 2234505724220 is an apocalyptic number.

234505724220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234505724220 is an abundant number, since it is smaller than the sum of its proper divisors (476890111476).

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

234505724220 is a wasteful number, since it uses less digits than its factorization.

234505724220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113211 (or 113206 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 234505724220 in words is "two hundred thirty-four billion, five hundred five million, seven hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 13003 26006 39009 52012 65015 78018 100193 117027 130030 156036 195045 200386 234054 260060 300579 390090 400772 468108 500965 585135 601158 780180 901737 1001930 1170270 1202316 1502895 1803474 2003860 2340540 3005790 3606948 4508685 6011580 9017370 18034740 1302809579 2605619158 3908428737 5211238316 6514047895 7816857474 11725286211 13028095790 15633714948 19542143685 23450572422 26056191580 39084287370 46901144844 58626431055 78168574740 117252862110 234505724220