Search a number
-
+
91229868 = 223319231933
BaseRepresentation
bin1010111000000…
…00111010101100
320100122221212000
411130000322230
5141323323433
613015212300
72155304202
oct534007254
9210587760
1091229868
1147551394
1226677090
1315b92992
14c18b072
158021113
hex5700eac

91229868 has 96 divisors (see below), whose sum is σ = 259929600. Its totient is φ = 27542592.

The previous prime is 91229843. The next prime is 91229893. The reversal of 91229868 is 86892219.

It is an interprime number because it is at equal distance from previous prime (91229843) and next prime (91229893).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46230 + ... + 48162.

It is an arithmetic number, because the mean of its divisors is an integer number (2707600).

Almost surely, 291229868 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 91229868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129964800).

91229868 is an abundant number, since it is smaller than the sum of its proper divisors (168699732).

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

91229868 is a wasteful number, since it uses less digits than its factorization.

91229868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1980 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 91229868 is about 9551.4327721028. The cubic root of 91229868 is about 450.1725560458.

The spelling of 91229868 in words is "ninety-one million, two hundred twenty-nine thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 23 27 36 38 46 54 57 69 76 92 108 114 138 171 207 228 276 342 414 437 513 621 684 828 874 1026 1242 1311 1748 1933 2052 2484 2622 3866 3933 5244 5799 7732 7866 11598 11799 15732 17397 23196 23598 34794 36727 44459 47196 52191 69588 73454 88918 104382 110181 133377 146908 177836 208764 220362 266754 330543 400131 440724 533508 661086 800262 844721 991629 1200393 1322172 1600524 1689442 1983258 2400786 2534163 3378884 3966516 4801572 5068326 7602489 10136652 15204978 22807467 30409956 45614934 91229868