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230150592 = 2633753359
BaseRepresentation
bin11011011011111…
…01000111000000
3121001001212021000
431231331013000
5432404304332
634500532000
75463150660
oct1555750700
9531055230
10230150592
11108a06601
12650b1000
13388b29a9
14227d01a0
1515312b7c
hexdb7d1c0

230150592 has 224 divisors, whose sum is σ = 790041600. Its totient is φ = 64336896.

The previous prime is 230150567. The next prime is 230150593. The reversal of 230150592 is 295051032.

230150592 is a `hidden beast` number, since 23 + 0 + 1 + 50 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230150593) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640909 + ... + 641267.

Almost surely, 2230150592 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 230150592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395020800).

230150592 is an abundant number, since it is smaller than the sum of its proper divisors (559891008).

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

230150592 is a wasteful number, since it uses less digits than its factorization.

230150592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 230150592 is about 15170.7149468969. The cubic root of 230150592 is about 612.8262580581.

The spelling of 230150592 in words is "two hundred thirty million, one hundred fifty thousand, five hundred ninety-two".