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285400188 = 223250315761
BaseRepresentation
bin10001000000101…
…101110001111100
3201220000211110100
4101000231301330
51041030301223
644153041100
710033601343
oct2100556174
9656024410
10285400188
11137112427
127b6b6190
1347188668
1429c92b5a
151a0c8043
hex1102dc7c

285400188 has 36 divisors (see below), whose sum is σ = 722908368. Its totient is φ = 94938240.

The previous prime is 285400187. The next prime is 285400201. The reversal of 285400188 is 881004582.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×2854001883 (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285400183) 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 11 ways as a sum of consecutive naturals, for example, 10228 + ... + 25988.

It is an arithmetic number, because the mean of its divisors is an integer number (20080788).

Almost surely, 2285400188 is an apocalyptic number.

It is an amenable number.

285400188 is an abundant number, since it is smaller than the sum of its proper divisors (437508180).

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

285400188 is a wasteful number, since it uses less digits than its factorization.

285400188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16274 (or 16269 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 285400188 is about 16893.7914039448. The cubic root of 285400188 is about 658.3923129270.

The spelling of 285400188 in words is "two hundred eighty-five million, four hundred thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 503 1006 1509 2012 3018 4527 6036 9054 15761 18108 31522 47283 63044 94566 141849 189132 283698 567396 7927783 15855566 23783349 31711132 47566698 71350047 95133396 142700094 285400188