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22689680 = 2451321817
BaseRepresentation
bin101011010001…
…1011110010000
31120200202101112
41112203132100
521302032210
62130152452
7363600446
oct126433620
946622345
1022689680
1111898102
127722728
134915760
143028b96
151ed2d05
hex15a3790

22689680 has 40 divisors (see below), whose sum is σ = 56814072. Its totient is φ = 8377344.

The previous prime is 22689677. The next prime is 22689691. The reversal of 22689680 is 8698622.

It can be written as a sum of positive squares in 4 ways, for example, as 1048576 + 21641104 = 1024^2 + 4652^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9869 + ... + 11948.

Almost surely, 222689680 is an apocalyptic number.

22689680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22689680 is an abundant number, since it is smaller than the sum of its proper divisors (34124392).

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

22689680 is a wasteful number, since it uses less digits than its factorization.

22689680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21843 (or 21837 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 22689680 is about 4763.3685559696. The cubic root of 22689680 is about 283.1019040590.

The spelling of 22689680 in words is "twenty-two million, six hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 21817 43634 87268 109085 174536 218170 283621 349072 436340 567242 872680 1134484 1418105 1745360 2268968 2836210 4537936 5672420 11344840 22689680