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22769040 = 2435713553
BaseRepresentation
bin101011011011…
…0110110010000
31120211210020210
41112312312100
521312102130
62132004120
7364351020
oct126666620
946753223
1022769040
1111941798
127760640
134942908
143049a80
151eeb5b0
hex15b6d90

22769040 has 80 divisors (see below), whose sum is σ = 80673408. Its totient is φ = 5203968.

The previous prime is 22769029. The next prime is 22769041. The reversal of 22769040 is 4096722.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22768989 and 22769007.

It is not an unprimeable number, because it can be changed into a prime (22769041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5097 + ... + 8456.

Almost surely, 222769040 is an apocalyptic number.

22769040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22769040 is an abundant number, since it is smaller than the sum of its proper divisors (57904368).

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

22769040 is a wasteful number, since it uses less digits than its factorization.

22769040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13576 (or 13570 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 22769040 is about 4771.6915239776. The cubic root of 22769040 is about 283.4315814602.

The spelling of 22769040 in words is "twenty-two million, seven hundred sixty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 13553 27106 40659 54212 67765 81318 94871 108424 135530 162636 189742 203295 216848 271060 284613 325272 379484 406590 474355 542120 569226 650544 758968 813180 948710 1084240 1138452 1423065 1517936 1626360 1897420 2276904 2846130 3252720 3794840 4553808 5692260 7589680 11384520 22769040