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230881464 = 2332111967229
BaseRepresentation
bin11011100001011…
…11100010111000
3121002102222211100
431300233202320
5433101201324
634524331400
75502313542
oct1560574270
9532388740
10230881464
11109365730
12653a3b60
1338aaa568
1422940692
15154094c9
hexdc2f8b8

230881464 has 192 divisors, whose sum is σ = 731952000. Its totient is φ = 65007360.

The previous prime is 230881451. The next prime is 230881481. The reversal of 230881464 is 464188032.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1008102 + ... + 1008330.

It is an arithmetic number, because the mean of its divisors is an integer number (3812250).

Almost surely, 2230881464 is an apocalyptic number.

230881464 is a gapful number since it is divisible by the number (24) 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 230881464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365976000).

230881464 is an abundant number, since it is smaller than the sum of its proper divisors (501070536).

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

230881464 is a wasteful number, since it uses less digits than its factorization.

230881464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 230881464 is about 15194.7841050803. The cubic root of 230881464 is about 613.4742747406.

The spelling of 230881464 in words is "two hundred thirty million, eight hundred eighty-one thousand, four hundred sixty-four".