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22740816 = 2437531277
BaseRepresentation
bin101011010111…
…1111101010000
31120210100112110
41112233331100
521310201231
62131225320
7364202520
oct126577520
946710473
1022740816
111192256a
127748240
134932b07
14303d680
151ee3046
hex15aff50

22740816 has 80 divisors (see below), whose sum is σ = 68459904. Its totient is φ = 6369792.

The previous prime is 22740811. The next prime is 22740833. The reversal of 22740816 is 61804722.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22740811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17170 + ... + 18446.

Almost surely, 222740816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22740816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34229952).

22740816 is an abundant number, since it is smaller than the sum of its proper divisors (45719088).

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

22740816 is a wasteful number, since it uses less digits than its factorization.

22740816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 22740816 is about 4768.7331651079. The cubic root of 22740816 is about 283.3144211906.

The spelling of 22740816 in words is "twenty-two million, seven hundred forty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 424 636 742 848 1113 1272 1277 1484 2226 2544 2554 2968 3831 4452 5108 5936 7662 8904 8939 10216 15324 17808 17878 20432 26817 30648 35756 53634 61296 67681 71512 107268 135362 143024 203043 214536 270724 406086 429072 473767 541448 812172 947534 1082896 1421301 1624344 1895068 2842602 3248688 3790136 5685204 7580272 11370408 22740816