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230631120 = 243251923733
BaseRepresentation
bin11011011111100…
…10011011010000
3121001222021102100
431233302123100
5433020143440
634515120400
75500221636
oct1557623320
9531867370
10230631120
11109204635
12652a3100
1338a20625
14228b7356
15153aa230
hexdbf26d0

230631120 has 240 divisors, whose sum is σ = 851909760. Its totient is φ = 55655424.

The previous prime is 230631119. The next prime is 230631127. The reversal of 230631120 is 21136032.

230631120 is a `hidden beast` number, since 2 + 30 + 631 + 1 + 2 + 0 = 666.

230631120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230631093 and 230631102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230631127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314274 + ... + 315006.

It is an arithmetic number, because the mean of its divisors is an integer number (3549624).

Almost surely, 2230631120 is an apocalyptic number.

230631120 is a gapful number since it is divisible by the number (20) 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 230631120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425954880).

230631120 is an abundant number, since it is smaller than the sum of its proper divisors (621278640).

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

230631120 is a wasteful number, since it uses less digits than its factorization.

230631120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 230631120 is about 15186.5440439884. The cubic root of 230631120 is about 613.2524651834.

Adding to 230631120 its reverse (21136032), we get a palindrome (251767152).

The spelling of 230631120 in words is "two hundred thirty million, six hundred thirty-one thousand, one hundred twenty".