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86937228 = 223274371113
BaseRepresentation
bin1010010111010…
…00111010001100
320001120212110100
411023220322030
5134223442403
612343211100
72103645210
oct513507214
9201525410
1086937228
114508a254
1225146a90
131501bb61
14b790940
1579742a3
hex52e8e8c

86937228 has 144 divisors (see below), whose sum is σ = 262918656. Its totient is φ = 23708160.

The previous prime is 86937223. The next prime is 86937229. The reversal of 86937228 is 82273968.

It is a super-2 number, since 2×869372282 = 15116163224647968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86937223) 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 47 ways as a sum of consecutive naturals, for example, 769300 + ... + 769412.

It is an arithmetic number, because the mean of its divisors is an integer number (1825824).

Almost surely, 286937228 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 86937228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131459328).

86937228 is an abundant number, since it is smaller than the sum of its proper divisors (175981428).

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

86937228 is a wasteful number, since it uses less digits than its factorization.

86937228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 239 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 86937228 is about 9324.0135135037. The cubic root of 86937228 is about 442.9981672867.

The spelling of 86937228 in words is "eighty-six million, nine hundred thirty-seven thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 71 84 86 113 126 129 142 172 213 226 252 258 284 301 339 387 426 452 497 516 602 639 678 774 791 852 903 994 1017 1204 1278 1356 1491 1548 1582 1806 1988 2034 2373 2556 2709 2982 3053 3164 3612 4068 4473 4746 4859 5418 5964 6106 7119 8023 8946 9159 9492 9718 10836 12212 14238 14577 16046 17892 18318 19436 21371 24069 27477 28476 29154 32092 34013 36636 42742 43731 48138 54954 56161 58308 64113 68026 72207 85484 87462 96276 102039 109908 112322 128226 136052 144414 168483 174924 192339 204078 224644 256452 288828 306117 336966 344989 384678 408156 505449 612234 673932 689978 769356 1010898 1034967 1224468 1379956 2021796 2069934 2414923 3104901 4139868 4829846 6209802 7244769 9659692 12419604 14489538 21734307 28979076 43468614 86937228