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109002168 = 233211229601
BaseRepresentation
bin1100111111100…
…11110110111000
321121002212212100
412133303312320
5210401032133
614452143400
72462334402
oct637636670
9247085770
10109002168
115658aa40
1230607b60
1319776132
1410695b72
159881e13
hex67f3db8

109002168 has 96 divisors (see below), whose sum is σ = 323996400. Its totient is φ = 32832000.

The previous prime is 109002167. The next prime is 109002199. The reversal of 109002168 is 861200901.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109002161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181068 + ... + 181668.

Almost surely, 2109002168 is an apocalyptic number.

109002168 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 109002168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161998200).

109002168 is an abundant number, since it is smaller than the sum of its proper divisors (214994232).

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

109002168 is a wasteful number, since it uses less digits than its factorization.

109002168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 109002168 is about 10440.4103367636. The cubic root of 109002168 is about 477.6887851235.

The spelling of 109002168 in words is "one hundred nine million, two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 229 264 396 458 601 687 792 916 1202 1374 1803 1832 2061 2404 2519 2748 3606 4122 4808 5038 5409 5496 6611 7212 7557 8244 10076 10818 13222 14424 15114 16488 19833 20152 21636 22671 26444 30228 39666 43272 45342 52888 59499 60456 79332 90684 118998 137629 158664 181368 237996 275258 412887 475992 550516 825774 1101032 1238661 1513919 1651548 2477322 3027838 3303096 4541757 4954644 6055676 9083514 9909288 12111352 13625271 18167028 27250542 36334056 54501084 109002168