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108221472 = 25326132
BaseRepresentation
bin1100111001101…
…01010000100000
321112122012221200
412130311100200
5210201041342
614423321200
72452603332
oct634652040
9245565850
10108221472
11560a7437
12302b0200
1319561998
1410531452
15977a94c
hex6735420

108221472 has 54 divisors (see below), whose sum is σ = 308257677. Its totient is φ = 36014976.

The previous prime is 108221471. The next prime is 108221489. The reversal of 108221472 is 274122801.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 60279696 + 47941776 = 7764^2 + 6924^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7356.

It is not an unprimeable number, because it can be changed into a prime (108221471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 176238 + ... + 176850.

Almost surely, 2108221472 is an apocalyptic number.

108221472 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 108221472

108221472 is an abundant number, since it is smaller than the sum of its proper divisors (200036205).

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

108221472 is an frugal number, since it uses more digits than its factorization.

108221472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 108221472 is about 10402.9549648165. The cubic root of 108221472 is about 476.5456163729.

The spelling of 108221472 in words is "one hundred eight million, two hundred twenty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 613 1226 1839 2452 3678 4904 5517 7356 9808 11034 14712 19616 22068 29424 44136 58848 88272 176544 375769 751538 1127307 1503076 2254614 3006152 3381921 4509228 6012304 6763842 9018456 12024608 13527684 18036912 27055368 36073824 54110736 108221472