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22765030340 = 22513101866909
BaseRepresentation
bin10101001100111001…
…101100101111000100
32011202112102100210212
4111030321230233010
5333110321432330
614242541334552
71434065364563
oct251471545704
964675370725
1022765030340
1197222a2268
1244b3b67458
1321ba4acb70
14115d605bda
158d3899295
hex54ce6cbc4

22765030340 has 48 divisors (see below), whose sum is σ = 51993794160. Its totient is φ = 8322316800.

The previous prime is 22765030307. The next prime is 22765030397. The reversal of 22765030340 is 4303056722.

It can be written as a sum of positive squares in 8 ways, for example, as 955057216 + 21809973124 = 30904^2 + 147682^2 .

It is a super-2 number, since 2×227650303402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22765030297 and 22765030306.

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, 407195 + ... + 459714.

It is an arithmetic number, because the mean of its divisors is an integer number (1083204045).

Almost surely, 222765030340 is an apocalyptic number.

22765030340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22765030340 is an abundant number, since it is smaller than the sum of its proper divisors (29228763820).

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

22765030340 is a wasteful number, since it uses less digits than its factorization.

22765030340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867032 (or 867030 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The spelling of 22765030340 in words is "twenty-two billion, seven hundred sixty-five million, thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 1010 1313 2020 2626 5252 6565 13130 26260 866909 1733818 3467636 4334545 8669090 11269817 17338180 22539634 45079268 56349085 87557809 112698170 175115618 225396340 350231236 437789045 875578090 1138251517 1751156180 2276503034 4553006068 5691257585 11382515170 22765030340