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189531200 = 2652118457
BaseRepresentation
bin10110100110000…
…00010001000000
3111012122011221002
423103000101000
5342004444300
630450151132
74460663045
oct1323002100
9435564832
10189531200
1197a92661
12535824a8
1330360251
141b2591cc
151198c5d5
hexb4c0440

189531200 has 42 divisors (see below), whose sum is σ = 466369146. Its totient is φ = 75811840.

The previous prime is 189531169. The next prime is 189531217. The reversal of 189531200 is 2135981.

It can be written as a sum of positive squares in 3 ways, for example, as 62473216 + 127057984 = 7904^2 + 11272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57629 + ... + 60828.

Almost surely, 2189531200 is an apocalyptic number.

189531200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189531200 is an abundant number, since it is smaller than the sum of its proper divisors (276837946).

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

189531200 is a wasteful number, since it uses less digits than its factorization.

189531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118479 (or 118464 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 189531200 is about 13767.0330863262. The cubic root of 189531200 is about 574.4164969153.

The spelling of 189531200 in words is "one hundred eighty-nine million, five hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 118457 236914 473828 592285 947656 1184570 1895312 2369140 2961425 3790624 4738280 5922850 7581248 9476560 11845700 18953120 23691400 37906240 47382800 94765600 189531200