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88221696 = 211383173
BaseRepresentation
bin1010100001000…
…10100000000000
320011000010102020
411100202200000
5140041043241
612430521440
72120605053
oct520424000
9204003366
1088221696
11458872a2
1225666280
131537b6b4
14ba06a9a
157b29b66
hex5422800

88221696 has 96 divisors (see below), whose sum is σ = 239410080. Its totient is φ = 28884992.

The previous prime is 88221667. The next prime is 88221713. The reversal of 88221696 is 69612288.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 509866 + ... + 510038.

It is an arithmetic number, because the mean of its divisors is an integer number (2493855).

Almost surely, 288221696 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 88221696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119705040).

88221696 is an abundant number, since it is smaller than the sum of its proper divisors (151188384).

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

88221696 is a wasteful number, since it uses less digits than its factorization.

88221696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 261 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 88221696 is about 9392.6405233033. The cubic root of 88221696 is about 445.1692257111.

It can be divided in two parts, 882 and 21696, that added together give a triangular number (22578 = T212).

The spelling of 88221696 in words is "eighty-eight million, two hundred twenty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 173 192 249 256 332 346 384 498 512 519 664 692 768 996 1024 1038 1328 1384 1536 1992 2048 2076 2656 2768 3072 3984 4152 5312 5536 6144 7968 8304 10624 11072 14359 15936 16608 21248 22144 28718 31872 33216 42496 43077 44288 57436 63744 66432 84992 86154 88576 114872 127488 132864 169984 172308 177152 229744 254976 265728 344616 354304 459488 509952 531456 689232 918976 1062912 1378464 1837952 2756928 3675904 5513856 7351808 11027712 14703616 22055424 29407232 44110848 88221696