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232214000 = 2453116107
BaseRepresentation
bin11011101011101…
…00110111110000
3121011221200201112
431311310313300
5433421322000
635013052452
75516533514
oct1565646760
9534850645
10232214000
1110a0958a7
1265927128
1339155c45
1422baa144
15155be235
hexdd74df0

232214000 has 40 divisors (see below), whose sum is σ = 561498288. Its totient is φ = 92884800.

The previous prime is 232213987. The next prime is 232214011. The reversal of 232214000 is 412232.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56054 + ... + 60053.

Almost surely, 2232214000 is an apocalyptic number.

232214000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232214000 is an abundant number, since it is smaller than the sum of its proper divisors (329284288).

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

232214000 is a wasteful number, since it uses less digits than its factorization.

232214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116130 (or 116114 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 232214000 is about 15238.5694866677. The cubic root of 232214000 is about 614.6522369042.

Adding to 232214000 its reverse (412232), we get a palindrome (232626232).

The spelling of 232214000 in words is "two hundred thirty-two million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 116107 232214 464428 580535 928856 1161070 1857712 2322140 2902675 4644280 5805350 9288560 11610700 14513375 23221400 29026750 46442800 58053500 116107000 232214000