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117211608 = 233219471823
BaseRepresentation
bin1101111110010…
…00000111011000
322011112222002200
412333020013120
5220001232413
615344130200
72622165543
oct677100730
9264488080
10117211608
11601878a8
1233306960
131b38b9a7
14117d185a
15a454573
hex6fc81d8

117211608 has 96 divisors (see below), whose sum is σ = 341452800. Its totient is φ = 36206784.

The previous prime is 117211571. The next prime is 117211613. The reversal of 117211608 is 806112711.

It is a super-2 number, since 2×1172116082 = 27477122099891328, 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 23 ways as a sum of consecutive naturals, for example, 63385 + ... + 65207.

It is an arithmetic number, because the mean of its divisors is an integer number (3556800).

Almost surely, 2117211608 is an apocalyptic number.

117211608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117211608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170726400).

117211608 is an abundant number, since it is smaller than the sum of its proper divisors (224241192).

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

117211608 is a wasteful number, since it uses less digits than its factorization.

117211608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 117211608 is about 10826.4309908668. The cubic root of 117211608 is about 489.3920100467.

The spelling of 117211608 in words is "one hundred seventeen million, two hundred eleven thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 47 57 72 76 94 114 141 152 171 188 228 282 342 376 423 456 564 684 846 893 1128 1368 1692 1786 1823 2679 3384 3572 3646 5358 5469 7144 7292 8037 10716 10938 14584 16074 16407 21432 21876 32148 32814 34637 43752 64296 65628 69274 85681 103911 131256 138548 171362 207822 257043 277096 311733 342724 415644 514086 623466 685448 771129 831288 1028172 1246932 1542258 1627939 2056344 2493864 3084516 3255878 4883817 6169032 6511756 9767634 13023512 14651451 19535268 29302902 39070536 58605804 117211608