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195864100 = 22521958641
BaseRepresentation
bin10111010110010…
…10011000100100
3111122112221000221
423223022120210
5400120122400
631234014124
74565550235
oct1353123044
9448487027
10195864100
11a0618663
1255717344
1331769923
141c02708c
15122ddc1a
hexbaca624

195864100 has 18 divisors (see below), whose sum is σ = 425025314. Its totient is φ = 78345600.

The previous prime is 195864083. The next prime is 195864101. The reversal of 195864100 is 1468591.

It can be written as a sum of positive squares in 3 ways, for example, as 3154176 + 192709924 = 1776^2 + 13882^2 .

It is not an unprimeable number, because it can be changed into a prime (195864101) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 979221 + ... + 979420.

Almost surely, 2195864100 is an apocalyptic number.

195864100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

195864100 is an abundant number, since it is smaller than the sum of its proper divisors (229161214).

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

195864100 is a wasteful number, since it uses less digits than its factorization.

195864100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958655 (or 1958648 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 195864100 is about 13995.1455869526. The cubic root of 195864100 is about 580.7442882368.

The spelling of 195864100 in words is "one hundred ninety-five million, eight hundred sixty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1958641 3917282 7834564 9793205 19586410 39172820 48966025 97932050 195864100