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2243456712 = 2332722319961
BaseRepresentation
bin1000010110111000…
…0110111011001000
312210100110102001100
42011232012323020
514043311103322
61010341021400
7106411032060
oct20556067310
95710412040
102243456712
11a51411262
125273b4860
13299a386a3
14173d503a0
15d1e52dac
hex85b86ec8

2243456712 has 96 divisors (see below), whose sum is σ = 6975521280. Its totient is φ = 638081280.

The previous prime is 2243456689. The next prime is 2243456723. The reversal of 2243456712 is 2176543422.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102412 + ... + 122372.

It is an arithmetic number, because the mean of its divisors is an integer number (72661680).

Almost surely, 22243456712 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 2243456712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487760640).

2243456712 is an abundant number, since it is smaller than the sum of its proper divisors (4732064568).

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

2243456712 is a wasteful number, since it uses less digits than its factorization.

2243456712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20203 (or 20196 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 2243456712 is about 47365.1423728463. The cubic root of 2243456712 is about 1309.0992218643.

The spelling of 2243456712 in words is "two billion, two hundred forty-three million, four hundred fifty-six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 223 252 446 504 669 892 1338 1561 1784 2007 2676 3122 4014 4683 5352 6244 8028 9366 12488 14049 16056 18732 19961 28098 37464 39922 56196 59883 79844 112392 119766 139727 159688 179649 239532 279454 359298 419181 479064 558908 718596 838362 1117816 1257543 1437192 1676724 2515086 3353448 4451303 5030172 8902606 10060344 13353909 17805212 26707818 31159121 35610424 40061727 53415636 62318242 80123454 93477363 106831272 124636484 160246908 186954726 249272968 280432089 320493816 373909452 560864178 747818904 1121728356 2243456712