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163132200 = 2332527112107
BaseRepresentation
bin10011011100100…
…11001100101000
3102100221222022100
421232103030220
5313230212300
624104253400
74020413040
oct1156231450
9370858270
10163132200
11840a1700
1246771260
1327a4933a
1417946720
15e4c5700
hex9b93328

163132200 has 432 divisors, whose sum is σ = 694643040. Its totient is φ = 33580800.

The previous prime is 163132183. The next prime is 163132213. The reversal of 163132200 is 2231361.

163132200 is a `hidden beast` number, since 1 + 631 + 32 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×1631322002 = 53224229353680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 107 ways as a sum of consecutive naturals, for example, 1524547 + ... + 1524653.

It is an arithmetic number, because the mean of its divisors is an integer number (1607970).

Almost surely, 2163132200 is an apocalyptic number.

163132200 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 163132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347321520).

163132200 is an abundant number, since it is smaller than the sum of its proper divisors (531510840).

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

163132200 is a wasteful number, since it uses less digits than its factorization.

163132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 163132200 is about 12772.3216370400. The cubic root of 163132200 is about 546.4031961267.

Adding to 163132200 its reverse (2231361), we get a palindrome (165363561).

The spelling of 163132200 in words is "one hundred sixty-three million, one hundred thirty-two thousand, two hundred".