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22807680336 = 2432723232381
BaseRepresentation
bin10101001111011100…
…011001010101010000
32011212111200012121100
4111033130121111100
5333202231232321
614251103424400
71435124040600
oct251734312520
964774605540
1022807680336
1197443828a1
1245062b5100
1321c629394c
141165148c00
158d74c1326
hex54f719550

22807680336 has 90 divisors (see below), whose sum is σ = 74251046922. Its totient is φ = 6516478080.

The previous prime is 22807680331. The next prime is 22807680347. The reversal of 22807680336 is 63308670822.

It can be written as a sum of positive squares in only one way, i.e., 21215670336 + 1592010000 = 145656^2 + 39900^2 .

It is a super-2 number, since 2×228076803362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22807680291 and 22807680300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22807680331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1609135 + ... + 1623246.

Almost surely, 222807680336 is an apocalyptic number.

It is an amenable number.

22807680336 is an abundant number, since it is smaller than the sum of its proper divisors (51443366586).

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

22807680336 is a wasteful number, since it uses less digits than its factorization.

22807680336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232409 (or 3232393 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 22807680336 in words is "twenty-two billion, eight hundred seven million, six hundred eighty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 3232381 6464762 9697143 12929524 19394286 22626667 25859048 29091429 38788572 45253334 51718096 58182858 67880001 77577144 90506668 116365716 135760002 155154288 158386669 181013336 203640003 232731432 271520004 316773338 362026672 407280006 465462864 475160007 543040008 633546676 814560012 950320014 1086080016 1267093352 1425480021 1629120024 1900640028 2534186704 2850960042 3258240048 3801280056 5701920084 7602560112 11403840168 22807680336