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88228096 = 2811171997
BaseRepresentation
bin1010100001001…
…00000100000000
320011000110012021
411100210010000
5140041244341
612431011224
72120632525
oct520440400
9204013167
1088228096
1145891090
1225669b14
1315381598
14ba0914c
157b2b9d1
hex5424100

88228096 has 144 divisors (see below), whose sum is σ = 216336960. Its totient is φ = 35389440.

The previous prime is 88228081. The next prime is 88228109. The reversal of 88228096 is 69082288.

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, 909520 + ... + 909616.

It is an arithmetic number, because the mean of its divisors is an integer number (1502340).

Almost surely, 288228096 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 88228096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108168480).

88228096 is an abundant number, since it is smaller than the sum of its proper divisors (128108864).

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

88228096 is a wasteful number, since it uses less digits than its factorization.

88228096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 88228096 is about 9392.9812093925. The cubic root of 88228096 is about 445.1799903124.

The spelling of 88228096 in words is "eighty-eight million, two hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 4 8 11 16 17 19 22 32 34 38 44 64 68 76 88 97 128 136 152 176 187 194 209 256 272 304 323 352 374 388 418 544 608 646 704 748 776 836 1067 1088 1216 1292 1408 1496 1552 1649 1672 1843 2134 2176 2432 2584 2816 2992 3104 3298 3344 3553 3686 4268 4352 4864 5168 5984 6208 6596 6688 7106 7372 8536 10336 11968 12416 13192 13376 14212 14744 17072 18139 20273 20672 23936 24832 26384 26752 28424 29488 31331 34144 36278 40546 41344 47872 52768 53504 56848 58976 62662 68288 72556 81092 82688 105536 113696 117952 125324 136576 145112 162184 211072 227392 235904 250648 273152 290224 324368 344641 422144 454784 471808 501296 580448 648736 689282 909568 1002592 1160896 1297472 1378564 2005184 2321792 2594944 2757128 4010368 4643584 5189888 5514256 8020736 11028512 22057024 44114048 88228096