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195129900 = 223252747659
BaseRepresentation
bin10111010000101…
…11001000101100
3111121011121220100
423220113020230
5344423124100
631210151100
74556401560
oct1350271054
9447147810
10195129900
11a0166a89
1255422490
13315706a4
141bcb56a0
15121e6400
hexba1722c

195129900 has 216 divisors, whose sum is σ = 714954240. Its totient is φ = 43585920.

The previous prime is 195129833. The next prime is 195129917. The reversal of 195129900 is 9921591.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 295771 + ... + 296429.

Almost surely, 2195129900 is an apocalyptic number.

195129900 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 195129900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357477120).

195129900 is an abundant number, since it is smaller than the sum of its proper divisors (519824340).

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

195129900 is a wasteful number, since it uses less digits than its factorization.

195129900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The square root of 195129900 is about 13968.8904355357. The cubic root of 195129900 is about 580.0177362789.

The spelling of 195129900 in words is "one hundred ninety-five million, one hundred twenty-nine thousand, nine hundred".