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99217008 = 24331120879
BaseRepresentation
bin1011110100111…
…10111001110000
320220200202011000
411322132321300
5200344421013
613502322000
72313221262
oct572367160
9226622130
1099217008
1151007230
1229289300
131772b2b7
14d269b32
158a9c973
hex5e9ee70

99217008 has 80 divisors (see below), whose sum is σ = 310694400. Its totient is φ = 30064320.

The previous prime is 99217003. The next prime is 99217021. The reversal of 99217008 is 80071299.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99217003) 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, 5688 + ... + 15191.

It is an arithmetic number, because the mean of its divisors is an integer number (3883680).

Almost surely, 299217008 is an apocalyptic number.

It is an amenable number.

99217008 is an abundant number, since it is smaller than the sum of its proper divisors (211477392).

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

99217008 is a wasteful number, since it uses less digits than its factorization.

99217008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20907 (or 20895 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 99217008 is about 9960.7734639435. The cubic root of 99217008 is about 462.9442653951.

The spelling of 99217008 in words is "ninety-nine million, two hundred seventeen thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 20879 41758 62637 83516 125274 167032 187911 229669 250548 334064 375822 459338 501096 563733 689007 751644 918676 1002192 1127466 1378014 1503288 1837352 2067021 2254932 2756028 3006576 3674704 4134042 4509864 5512056 6201063 8268084 9019728 11024112 12402126 16536168 24804252 33072336 49608504 99217008