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230092416 = 27321731379
BaseRepresentation
bin11011011011011…
…10111010000000
3121000221220110100
431231232322000
5432400424131
634455402400
75462516241
oct1555567200
9530856410
10230092416
11108976924
1265083400
1338892378
14227b6cc8
15153007e6
hexdb6ee80

230092416 has 192 divisors, whose sum is σ = 725587200. Its totient is φ = 69672960.

The previous prime is 230092411. The next prime is 230092463. The reversal of 230092416 is 614290032.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 230092416.

It is not an unprimeable number, because it can be changed into a prime (230092411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 606915 + ... + 607293.

It is an arithmetic number, because the mean of its divisors is an integer number (3779100).

Almost surely, 2230092416 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 230092416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362793600).

230092416 is an abundant number, since it is smaller than the sum of its proper divisors (495494784).

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

230092416 is a wasteful number, since it uses less digits than its factorization.

230092416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 230092416 is about 15168.7974473918. The cubic root of 230092416 is about 612.7746182681.

It can be divided in two parts, 23009 and 2416, that added together give a triangular number (25425 = T225).

The spelling of 230092416 in words is "two hundred thirty million, ninety-two thousand, four hundred sixteen".