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99217080 = 233251971399
BaseRepresentation
bin1011110100111…
…10111010111000
320220200202020200
411322132322320
5200344421310
613502322200
72313221424
oct572367270
9226622220
1099217080
1151007296
1229289360
131772b341
14d269b84
158a9c9c0
hex5e9eeb8

99217080 has 96 divisors (see below), whose sum is σ = 324324000. Its totient is φ = 26304768.

The previous prime is 99217067. The next prime is 99217087. The reversal of 99217080 is 8071299.

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 (99217087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70221 + ... + 71619.

It is an arithmetic number, because the mean of its divisors is an integer number (3378375).

Almost surely, 299217080 is an apocalyptic number.

99217080 is a gapful number since it is divisible by the number (90) 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 99217080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162162000).

99217080 is an abundant number, since it is smaller than the sum of its proper divisors (225106920).

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

99217080 is a wasteful number, since it uses less digits than its factorization.

99217080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1606 counting only the distinct ones).

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

The square root of 99217080 is about 9960.7770781200. Note that the first 3 decimals coincide. The cubic root of 99217080 is about 462.9443773785.

The spelling of 99217080 in words is "ninety-nine million, two hundred seventeen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 197 360 394 591 788 985 1182 1399 1576 1773 1970 2364 2798 2955 3546 3940 4197 4728 5596 5910 6995 7092 7880 8394 8865 11192 11820 12591 13990 14184 16788 17730 20985 23640 25182 27980 33576 35460 41970 50364 55960 62955 70920 83940 100728 125910 167880 251820 275603 503640 551206 826809 1102412 1378015 1653618 2204824 2480427 2756030 3307236 4134045 4960854 5512060 6614472 8268090 9921708 11024120 12402135 16536180 19843416 24804270 33072360 49608540 99217080