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222131211312 = 24312788741081
BaseRepresentation
bin1100111011100000001…
…1010100110000110000
3210020100201001201001110
43032320003110300300
512114411042230222
6250013510433320
722022422066653
oct3167003246060
9706321051043
10222131211312
118622930688a
1237073362840
1317c403c209a
14aa7345989a
155ba137030c
hex33b80d4c30

222131211312 has 80 divisors (see below), whose sum is σ = 579023511552. Its totient is φ = 73376110080.

The previous prime is 222131211307. The next prime is 222131211317. The reversal of 222131211312 is 213112131222.

It is an interprime number because it is at equal distance from previous prime (222131211307) and next prime (222131211317).

It is a super-2 number, since 2×2221312113122 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (222131211317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5386612 + ... + 5427692.

Almost surely, 2222131211312 is an apocalyptic number.

It is an amenable number.

222131211312 is an abundant number, since it is smaller than the sum of its proper divisors (356892300240).

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

222131211312 is a wasteful number, since it uses less digits than its factorization.

222131211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42106 (or 42100 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 222131211312 its reverse (213112131222), we get a palindrome (435243342534).

The spelling of 222131211312 in words is "two hundred twenty-two billion, one hundred thirty-one million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 127 254 381 508 762 887 1016 1524 1774 2032 2661 3048 3548 5322 6096 7096 10644 14192 21288 41081 42576 82162 112649 123243 164324 225298 246486 328648 337947 450596 492972 657296 675894 901192 985944 1351788 1802384 1971888 2703576 5217287 5407152 10434574 15651861 20869148 31303722 36438847 41738296 62607444 72877694 83476592 109316541 125214888 145755388 218633082 250429776 291510776 437266164 583021552 874532328 1749064656 4627733569 9255467138 13883200707 18510934276 27766401414 37021868552 55532802828 74043737104 111065605656 222131211312