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90231233202 = 23411315093209
BaseRepresentation
bin101010000001000110…
…0110101101010110010
322121220100222120110000
41110002030311222302
52434243143430302
6105241320250430
76343004553555
oct1240214655262
9277810876400
1090231233202
11352a31a7010
12155a2310a16
13867c9c3966
14451d8d069c
15253180531c
hex1502335ab2

90231233202 has 160 divisors (see below), whose sum is σ = 228198643200. Its totient is φ = 26400556800.

The previous prime is 90231233201. The next prime is 90231233227. The reversal of 90231233202 is 20233213209.

90231233202 is a `hidden beast` number, since 90 + 231 + 23 + 320 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (90231233201) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28116574 + ... + 28119782.

It is an arithmetic number, because the mean of its divisors is an integer number (1426241520).

Almost surely, 290231233202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90231233202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114099321600).

90231233202 is an abundant number, since it is smaller than the sum of its proper divisors (137967409998).

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

90231233202 is a wasteful number, since it uses less digits than its factorization.

90231233202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774 (or 3765 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 90231233202 in words is "ninety billion, two hundred thirty-one million, two hundred thirty-three thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 81 93 99 162 186 198 279 297 341 509 558 594 682 837 891 1018 1023 1527 1674 1782 2046 2511 3054 3069 3209 4581 5022 5599 6138 6418 9162 9207 9627 11198 13743 15779 16797 18414 19254 27486 27621 28881 31558 33594 35299 41229 47337 50391 55242 57762 70598 82458 86643 94674 99479 100782 105897 142011 151173 173286 173569 198958 211794 259929 284022 298437 302346 317691 347138 426033 453519 519858 520707 596874 635382 852066 895311 907038 953073 1041414 1094269 1278099 1562121 1633381 1790622 1906146 2188538 2556198 2685933 2859219 3124242 3266762 3282807 4686363 4900143 5371866 5718438 6565614 8057799 9372726 9800286 9848421 14059089 14700429 16115598 17967191 19696842 28118178 29400858 29545263 35934382 44101287 50634811 53901573 59090526 88202574 88635789 101269622 107803146 132303861 151904433 161704719 177271578 264607722 303808866 323409438 455713299 485114157 556982921 911426598 970228314 1113965842 1367139897 1455342471 1670948763 2734279794 2910684942 3341897526 4101419691 5012846289 8202839382 10025692578 15038538867 30077077734 45115616601 90231233202