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188200964 = 22721516359
BaseRepresentation
bin10110011011110…
…11100000000100
3111010010121012002
423031323200010
5341134412324
630401444432
74443452600
oct1315734004
9433117162
10188200964
1197264196
1253040718
132ccb5923
141add0500
15117c83ae
hexb37b804

188200964 has 36 divisors (see below), whose sum is σ = 385721280. Its totient is φ = 80110800.

The previous prime is 188200939. The next prime is 188200993. The reversal of 188200964 is 469002881.

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 11 ways as a sum of consecutive naturals, for example, 26417 + ... + 32775.

It is an arithmetic number, because the mean of its divisors is an integer number (10714480).

Almost surely, 2188200964 is an apocalyptic number.

188200964 is a gapful number since it is divisible by the number (14) 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 188200964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192860640).

188200964 is an abundant number, since it is smaller than the sum of its proper divisors (197520316).

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

188200964 is a wasteful number, since it uses less digits than its factorization.

188200964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6528 (or 6519 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 188200964 is about 13718.6356464482. The cubic root of 188200964 is about 573.0694818315.

The spelling of 188200964 in words is "one hundred eighty-eight million, two hundred thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 151 196 302 604 1057 2114 4228 6359 7399 12718 14798 25436 29596 44513 89026 178052 311591 623182 960209 1246364 1920418 3840836 6721463 13442926 26885852 47050241 94100482 188200964