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88229312 = 261937253
BaseRepresentation
bin1010100001001…
…00010111000000
320011000111212022
411100210113000
5140041314222
612431021012
72120636213
oct520442700
9204014768
1088229312
1145891a96
122566a768
1315381cc2
14ba0977a
157b2c042
hex54245c0

88229312 has 84 divisors (see below), whose sum is σ = 192984120. Its totient is φ = 39896064.

The previous prime is 88229291. The next prime is 88229327. The reversal of 88229312 is 21392288.

It is a super-2 number, since 2×882293122 = 15568822991986688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1664678 + ... + 1664730.

It is an arithmetic number, because the mean of its divisors is an integer number (2297430).

Almost surely, 288229312 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 88229312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96492060).

88229312 is an abundant number, since it is smaller than the sum of its proper divisors (104754808).

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

88229312 is a wasteful number, since it uses less digits than its factorization.

88229312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 111 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 88229312 is about 9393.0459383525. The cubic root of 88229312 is about 445.1820355278.

The spelling of 88229312 in words is "eighty-eight million, two hundred twenty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 37 38 53 64 74 76 106 148 152 212 296 304 424 592 608 703 848 1007 1184 1216 1369 1406 1696 1961 2014 2368 2738 2812 3392 3922 4028 5476 5624 7844 8056 10952 11248 15688 16112 21904 22496 26011 31376 32224 37259 43808 44992 52022 62752 64448 72557 74518 87616 104044 125504 145114 149036 208088 290228 298072 416176 580456 596144 832352 1160912 1192288 1378583 1664704 2321824 2384576 2757166 4643648 5514332 11028664 22057328 44114656 88229312