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922940064 = 2532171311439
BaseRepresentation
bin110111000000101…
…111001010100000
32101022200012202100
4313000233022200
53342233040224
6231325450400
731604601234
oct6700571240
92338605670
10922940064
11433a80592
12219110a00
131192990a7
148a80c5c4
155605dac9
hex3702f2a0

922940064 has 144 divisors (see below), whose sum is σ = 2802159360. Its totient is φ = 287139840.

The previous prime is 922940063. The next prime is 922940069. The reversal of 922940064 is 460049229.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (922940063) 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 23 ways as a sum of consecutive naturals, for example, 640657 + ... + 642095.

It is an arithmetic number, because the mean of its divisors is an integer number (19459440).

Almost surely, 2922940064 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 922940064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401079680).

922940064 is an abundant number, since it is smaller than the sum of its proper divisors (1879219296).

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

922940064 is a wasteful number, since it uses less digits than its factorization.

922940064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 922940064 is about 30379.9286371775. The cubic root of 922940064 is about 973.6237656261.

The spelling of 922940064 in words is "nine hundred twenty-two million, nine hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 131 136 144 153 204 262 272 288 306 393 408 524 544 612 786 816 1048 1179 1224 1439 1572 1632 2096 2227 2358 2448 2878 3144 4192 4317 4454 4716 4896 5756 6288 6681 8634 8908 9432 11512 12576 12951 13362 17268 17816 18864 20043 23024 24463 25902 26724 34536 35632 37728 40086 46048 48926 51804 53448 69072 71264 73389 80172 97852 103608 106896 138144 146778 160344 188509 195704 207216 213792 220167 293556 320688 377018 391408 414432 440334 565527 587112 641376 754036 782816 880668 1131054 1174224 1508072 1696581 1761336 2262108 2348448 3016144 3204653 3393162 3522672 4524216 6032288 6409306 6786324 7045344 9048432 9613959 12818612 13572648 18096864 19227918 25637224 27145296 28841877 38455836 51274448 54290592 57683754 76911672 102548896 115367508 153823344 230735016 307646688 461470032 922940064