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108218148 = 223193161251
BaseRepresentation
bin1100111001101…
…00011100100100
321112122001101120
412130310130210
5210200440043
614423253540
72452560543
oct634643444
9245561346
10108218148
11560a4995
12302aa2b0
131956030c
141053015a
159779983
hex6734724

108218148 has 96 divisors (see below), whose sum is σ = 279982080. Its totient is φ = 32400000.

The previous prime is 108218137. The next prime is 108218161. The reversal of 108218148 is 841812801.

It is a super-2 number, since 2×1082181482 = 23422335113099808, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431023 + ... + 431273.

It is an arithmetic number, because the mean of its divisors is an integer number (2916480).

Almost surely, 2108218148 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 108218148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139991040).

108218148 is an abundant number, since it is smaller than the sum of its proper divisors (171763932).

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

108218148 is a wasteful number, since it uses less digits than its factorization.

108218148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 33.

The square root of 108218148 is about 10402.7952012909. The cubic root of 108218148 is about 476.5407373231.

The spelling of 108218148 in words is "one hundred eight million, two hundred eighteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 31 38 57 61 62 76 93 114 122 124 183 186 228 244 251 366 372 502 589 732 753 1004 1159 1178 1506 1767 1891 2318 2356 3012 3477 3534 3782 4636 4769 5673 6954 7068 7564 7781 9538 11346 13908 14307 15311 15562 19076 22692 23343 28614 30622 31124 35929 45933 46686 57228 61244 71858 91866 93372 107787 143716 147839 183732 215574 290909 295678 431148 443517 474641 581818 591356 872727 887034 949282 1163636 1423923 1745454 1774068 1898564 2847846 3490908 5695692 9018179 18036358 27054537 36072716 54109074 108218148