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99722016 = 253479487
BaseRepresentation
bin1011111000110…
…10001100100000
320221122101220000
411330122030200
5201012101031
613521220000
72320423512
oct574321440
9227571800
1099722016
1151321699
1229491600
1317877114
14d35bbb2
158b4c3e6
hex5f1a320

99722016 has 120 divisors (see below), whose sum is σ = 297601920. Its totient is φ = 32752512.

The previous prime is 99722011. The next prime is 99722027. The reversal of 99722016 is 61022799.

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 (99722011) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 204525 + ... + 205011.

It is an arithmetic number, because the mean of its divisors is an integer number (2480016).

Almost surely, 299722016 is an apocalyptic number.

99722016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99722016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148800960).

99722016 is an abundant number, since it is smaller than the sum of its proper divisors (197879904).

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

99722016 is a wasteful number, since it uses less digits than its factorization.

99722016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 99722016 is about 9986.0911271628. The cubic root of 99722016 is about 463.7283884020.

The spelling of 99722016 in words is "ninety-nine million, seven hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 81 96 108 144 158 162 216 237 288 316 324 432 474 487 632 648 711 864 948 974 1264 1296 1422 1461 1896 1948 2133 2528 2592 2844 2922 3792 3896 4266 4383 5688 5844 6399 7584 7792 8532 8766 11376 11688 12798 13149 15584 17064 17532 22752 23376 25596 26298 34128 35064 38473 39447 46752 51192 52596 68256 70128 76946 78894 102384 105192 115419 140256 153892 157788 204768 210384 230838 307784 315576 346257 420768 461676 615568 631152 692514 923352 1038771 1231136 1262304 1385028 1846704 2077542 2770056 3116313 3693408 4155084 5540112 6232626 8310168 11080224 12465252 16620336 24930504 33240672 49861008 99722016