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22131413460 = 22335133152623
BaseRepresentation
bin10100100111001000…
…101001000111010100
32010010101011021212000
4110213020221013110
5330311120212320
614100024555300
71412302624212
oct244710510724
963111137760
1022131413460
119427673552
124357922b30
132119143c30
1410dd3cbcb2
15897e3ac90
hex5272291d4

22131413460 has 96 divisors (see below), whose sum is σ = 74149716480. Its totient is φ = 5447730816.

The previous prime is 22131413413. The next prime is 22131413461. The reversal of 22131413460 is 6431413122.

It is a happy number.

22131413460 is a `hidden beast` number, since 2 + 2 + 1 + 314 + 1 + 346 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22131413461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1569292 + ... + 1583331.

It is an arithmetic number, because the mean of its divisors is an integer number (772392880).

Almost surely, 222131413460 is an apocalyptic number.

22131413460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22131413460 is an abundant number, since it is smaller than the sum of its proper divisors (52018303020).

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

22131413460 is a wasteful number, since it uses less digits than its factorization.

22131413460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152654 (or 3152646 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 22131413460 its reverse (6431413122), we get a palindrome (28562826582).

The spelling of 22131413460 in words is "twenty-two billion, one hundred thirty-one million, four hundred thirteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 3152623 6305246 9457869 12610492 15763115 18915738 28373607 31526230 37831476 40984099 47289345 56747214 63052460 81968198 85120821 94578690 113494428 122952297 141868035 163936396 170241642 189157380 204920495 245904594 283736070 340483284 368856891 409840990 425604105 491809188 567472140 614761485 737713782 819681980 851208210 1106570673 1229522970 1475427564 1702416420 1844284455 2213141346 2459045940 3688568910 4426282692 5532853365 7377137820 11065706730 22131413460