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2243723968 = 26232952561
BaseRepresentation
bin1000010110111100…
…1000001011000000
312210100221222122201
42011233020023000
514043343131333
61010350442544
7106413224203
oct20557101300
95710858581
102243723968
11a51584032
12527503454
13299b00225
14173dbd93a
15d1ea717d
hex85bc82c0

2243723968 has 56 divisors (see below), whose sum is σ = 4806269280. Its totient is φ = 1036062720.

The previous prime is 2243723959. The next prime is 2243723969. The reversal of 2243723968 is 8693273422.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (2243723969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16408 + ... + 68968.

Almost surely, 22243723968 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 2243723968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403134640).

2243723968 is an abundant number, since it is smaller than the sum of its proper divisors (2562545312).

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

2243723968 is a wasteful number, since it uses less digits than its factorization.

2243723968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52625 (or 52615 counting only the distinct ones).

The product of its digits is 870912, while the sum is 46.

The square root of 2243723968 is about 47367.9635196617. The cubic root of 2243723968 is about 1309.1512027692.

The spelling of 2243723968 in words is "two billion, two hundred forty-three million, seven hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 23 29 32 46 58 64 92 116 184 232 368 464 667 736 928 1334 1472 1856 2668 5336 10672 21344 42688 52561 105122 210244 420488 840976 1208903 1524269 1681952 2417806 3048538 3363904 4835612 6097076 9671224 12194152 19342448 24388304 35058187 38684896 48776608 70116374 77369792 97553216 140232748 280465496 560930992 1121861984 2243723968