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187220064 = 25310119309
BaseRepresentation
bin10110010100011…
…00000001100000
3111001021202122110
423022030001200
5340412020224
630324435320
74432226043
oct1312140140
9431252573
10187220064
1196754229
1252848b40
132ca31305
141ac16c5a
1511682929
hexb28c060

187220064 has 48 divisors (see below), whose sum is σ = 496344240. Its totient is φ = 61785600.

The previous prime is 187220057. The next prime is 187220071. The reversal of 187220064 is 460022781.

It is an interprime number because it is at equal distance from previous prime (187220057) and next prime (187220071).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42 + ... + 19350.

It is an arithmetic number, because the mean of its divisors is an integer number (10340505).

Almost surely, 2187220064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 187220064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248172120).

187220064 is an abundant number, since it is smaller than the sum of its proper divisors (309124176).

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

187220064 is a wasteful number, since it uses less digits than its factorization.

187220064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19423 (or 19415 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 187220064 is about 13682.8383020483. The cubic root of 187220064 is about 572.0721378692.

The spelling of 187220064 in words is "one hundred eighty-seven million, two hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 3232 4848 9696 19309 38618 57927 77236 115854 154472 231708 308944 463416 617888 926832 1853664 1950209 3900418 5850627 7800836 11701254 15601672 23402508 31203344 46805016 62406688 93610032 187220064