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163155200 = 2852133753
BaseRepresentation
bin10011011100110…
…00110100000000
3102101000010212012
421232120310000
5313231431300
624104552052
74020540065
oct1156306400
9371003765
10163155200
1184107a0a
1246782628
1327a56950
1417950c6c
15e4cc435
hex9b98d00

163155200 has 216 divisors, whose sum is σ = 455080248. Its totient is φ = 57507840.

The previous prime is 163155197. The next prime is 163155301. The reversal of 163155200 is 2551361.

It can be written as a sum of positive squares in 12 ways, for example, as 23348224 + 139806976 = 4832^2 + 11824^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3078374 + ... + 3078426.

It is an arithmetic number, because the mean of its divisors is an integer number (2106853).

Almost surely, 2163155200 is an apocalyptic number.

163155200 is a gapful number since it is divisible by the number (10) 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 163155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227540124).

163155200 is an abundant number, since it is smaller than the sum of its proper divisors (291925048).

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

163155200 is a wasteful number, since it uses less digits than its factorization.

163155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 163155200 is about 12773.2219897722. The cubic root of 163155200 is about 546.4288740389.

The spelling of 163155200 in words is "one hundred sixty-three million, one hundred fifty-five thousand, two hundred".