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31232200224 = 2537133713597
BaseRepresentation
bin11101000101100101…
…011000111000100000
32222121121220011022110
4131011211120320200
51002430420401344
622203050235320
72153651215221
oct350545307040
988547804273
1031232200224
1112277843325
126077725b40
132c39751b64
141723d5b248
15c2bdc53b9
hex745958e20

31232200224 has 96 divisors (see below), whose sum is σ = 83392073856. Its totient is φ = 10232893440.

The previous prime is 31232200183. The next prime is 31232200249. The reversal of 31232200224 is 42200223213.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×312322002243 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31232200224.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2290194 + ... + 2303790.

It is an arithmetic number, because the mean of its divisors is an integer number (868667436).

Almost surely, 231232200224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31232200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41696036928).

31232200224 is an abundant number, since it is smaller than the sum of its proper divisors (52159873632).

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

31232200224 is a wasteful number, since it uses less digits than its factorization.

31232200224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14018 (or 14010 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 31232200224 its reverse (42200223213), we get a palindrome (73432423437).

The spelling of 31232200224 in words is "thirty-one billion, two hundred thirty-two million, two hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 337 426 568 674 852 1011 1136 1348 1704 2022 2272 2696 3408 4044 5392 6816 8088 10784 13597 16176 23927 27194 32352 40791 47854 54388 71781 81582 95708 108776 143562 163164 191416 217552 287124 326328 382832 435104 574248 652656 765664 965387 1148496 1305312 1930774 2296992 2896161 3861548 4582189 5792322 7723096 9164378 11584644 13746567 15446192 18328756 23169288 27493134 30892384 36657512 46338576 54986268 73315024 92677152 109972536 146630048 219945072 325335419 439890144 650670838 976006257 1301341676 1952012514 2602683352 3904025028 5205366704 7808050056 10410733408 15616100112 31232200224