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122704164 = 2232112171657
BaseRepresentation
bin1110101000001…
…01000100100100
322112220000110200
413110011010210
5222403013124
620101550500
73016653042
oct724050444
9275800420
10122704164
1163299500
1235115430
131c562a1b
1412421392
15ab8bbc9
hex7505124

122704164 has 108 divisors (see below), whose sum is σ = 361201932. Its totient is φ = 34974720.

The previous prime is 122704159. The next prime is 122704171. The reversal of 122704164 is 461407221.

It can be written as a sum of positive squares in 2 ways, for example, as 68062500 + 54641664 = 8250^2 + 7392^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 73224 + ... + 74880.

Almost surely, 2122704164 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 122704164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180600966).

122704164 is an abundant number, since it is smaller than the sum of its proper divisors (238497768).

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

122704164 is a wasteful number, since it uses less digits than its factorization.

122704164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 122704164 is about 11077.1911602175. The cubic root of 122704164 is about 496.9199508876.

The spelling of 122704164 in words is "one hundred twenty-two million, seven hundred four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 121 132 153 187 198 204 242 306 363 374 396 484 561 612 726 748 1089 1122 1452 1657 1683 2057 2178 2244 3314 3366 4114 4356 4971 6171 6628 6732 8228 9942 12342 14913 18227 18513 19884 24684 28169 29826 36454 37026 54681 56338 59652 72908 74052 84507 109362 112676 164043 169014 200497 218724 253521 309859 328086 338028 400994 507042 601491 619718 656172 801988 929577 1014084 1202982 1239436 1804473 1859154 2405964 2788731 3408449 3608946 3718308 5577462 6816898 7217892 10225347 11154924 13633796 20450694 30676041 40901388 61352082 122704164