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108221232 = 24371372351
BaseRepresentation
bin1100111001101…
…01001100110000
321112122012121210
412130311030300
5210201034412
614423320120
72452602540
oct634651460
9245565553
10108221232
11560a7239
12302b0040
1319561842
1410531320
15977a83c
hex6735330

108221232 has 80 divisors (see below), whose sum is σ = 321979392. Its totient is φ = 30681600.

The previous prime is 108221221. The next prime is 108221237. The reversal of 108221232 is 232122801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 108221199 and 108221208.

It is not an unprimeable number, because it can be changed into a prime (108221237) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 44857 + ... + 47207.

Almost surely, 2108221232 is an apocalyptic number.

108221232 is a gapful number since it is divisible by the number (12) 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 108221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160989696).

108221232 is an abundant number, since it is smaller than the sum of its proper divisors (213758160).

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

108221232 is a wasteful number, since it uses less digits than its factorization.

108221232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 108221232 is about 10402.9434296261. The cubic root of 108221232 is about 476.5452640983.

The spelling of 108221232 in words is "one hundred eight million, two hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 137 168 274 336 411 548 822 959 1096 1644 1918 2192 2351 2877 3288 3836 4702 5754 6576 7053 7672 9404 11508 14106 15344 16457 18808 23016 28212 32914 37616 46032 49371 56424 65828 98742 112848 131656 197484 263312 322087 394968 644174 789936 966261 1288348 1932522 2254609 2576696 3865044 4509218 5153392 6763827 7730088 9018436 13527654 15460176 18036872 27055308 36073744 54110616 108221232