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88214292 = 223317232089
BaseRepresentation
bin1010100001000…
…00101100010100
320010222202021000
411100200230110
5140040324132
612430423300
72120544345
oct520405424
9203882230
1088214292
1145881781
1225661b30
131537820a
14ba040cc
157b2787c
hex5420b14

88214292 has 96 divisors (see below), whose sum is σ = 252806400. Its totient is φ = 26459136.

The previous prime is 88214249. The next prime is 88214293. The reversal of 88214292 is 29241288.

It is a super-2 number, since 2×882142922 = 15563522626122528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88214293) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41184 + ... + 43272.

It is an arithmetic number, because the mean of its divisors is an integer number (2633400).

Almost surely, 288214292 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 88214292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126403200).

88214292 is an abundant number, since it is smaller than the sum of its proper divisors (164592108).

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

88214292 is a wasteful number, since it uses less digits than its factorization.

88214292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2134 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 88214292 is about 9392.2463766662. The cubic root of 88214292 is about 445.1567717634.

The spelling of 88214292 in words is "eighty-eight million, two hundred fourteen thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 23 27 34 36 46 51 54 68 69 92 102 108 138 153 204 207 276 306 391 414 459 612 621 782 828 918 1173 1242 1564 1836 2089 2346 2484 3519 4178 4692 6267 7038 8356 10557 12534 14076 18801 21114 25068 35513 37602 42228 48047 56403 71026 75204 96094 106539 112806 142052 144141 192188 213078 225612 288282 319617 426156 432423 576564 639234 816799 864846 958851 1278468 1297269 1633598 1729692 1917702 2450397 2594538 3267196 3835404 4900794 5189076 7351191 9801588 14702382 22053573 29404764 44107146 88214292