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88199216 = 24721931191
BaseRepresentation
bin1010100000111…
…01000000110000
320010221222120122
411100131000300
5140034333331
612430225412
72120452400
oct520350060
9203858518
1088199216
1145871416
1225655268
13153713b1
14b9dc800
157b2317b
hex541d030

88199216 has 120 divisors (see below), whose sum is σ = 217128960. Its totient is φ = 34473600.

The previous prime is 88199201. The next prime is 88199233. The reversal of 88199216 is 61299188.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461681 + ... + 461871.

It is an arithmetic number, because the mean of its divisors is an integer number (1809408).

Almost surely, 288199216 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 88199216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108564480).

88199216 is an abundant number, since it is smaller than the sum of its proper divisors (128929744).

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

88199216 is a wasteful number, since it uses less digits than its factorization.

88199216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 250 counting only the distinct ones).

The product of its digits is 62208, while the sum is 44.

The square root of 88199216 is about 9391.4437654708. The cubic root of 88199216 is about 445.1314109226.

The spelling of 88199216 in words is "eighty-eight million, one hundred ninety-nine thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 31 38 49 56 62 76 98 112 124 133 152 191 196 217 248 266 304 382 392 434 496 532 589 764 784 868 931 1064 1178 1337 1519 1528 1736 1862 2128 2356 2674 3038 3056 3472 3629 3724 4123 4712 5348 5921 6076 7258 7448 8246 9359 9424 10696 11842 12152 14516 14896 16492 18718 21392 23684 24304 25403 28861 29032 32984 37436 41447 47368 50806 57722 58064 65968 74872 82894 94736 101612 112499 115444 149744 165788 177821 203224 224998 230888 290129 331576 355642 406448 449996 461776 580258 663152 711284 787493 899992 1160516 1422568 1574986 1799984 2321032 2845136 3149972 4642064 5512451 6299944 11024902 12599888 22049804 44099608 88199216