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87224016 = 24311233709
BaseRepresentation
bin1010011001011…
…10111011010000
320002010102212010
411030232323100
5134312132031
612353302520
72106251265
oct514567320
9202112763
1087224016
1145265770
1225264a40
13150bc559
14b82726c
1579ce246
hex532eed0

87224016 has 80 divisors (see below), whose sum is σ = 247216320. Its totient is φ = 26280960.

The previous prime is 87223951. The next prime is 87224051. The reversal of 87224016 is 61042278.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122670 + ... + 123378.

It is an arithmetic number, because the mean of its divisors is an integer number (3090204).

Almost surely, 287224016 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 87224016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123608160).

87224016 is an abundant number, since it is smaller than the sum of its proper divisors (159992304).

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

87224016 is a wasteful number, since it uses less digits than its factorization.

87224016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 87224016 is about 9339.3798509323. The cubic root of 87224016 is about 443.4847525185.

The spelling of 87224016 in words is "eighty-seven million, two hundred twenty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 233 264 466 528 699 709 932 1398 1418 1864 2127 2563 2796 2836 3728 4254 5126 5592 5672 7689 7799 8508 10252 11184 11344 15378 15598 17016 20504 23397 30756 31196 34032 41008 46794 61512 62392 93588 123024 124784 165197 187176 330394 374352 495591 660788 991182 1321576 1817167 1982364 2643152 3634334 3964728 5451501 7268668 7929456 10903002 14537336 21806004 29074672 43612008 87224016