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230532048 = 24332232393
BaseRepresentation
bin11011011110110…
…10001111010000
3121001210020112000
431233122033100
5433004011143
634513034000
75466330045
oct1557321720
9531706460
10230532048
1110914715a
1265255900
13389b74c6
142288d1cc
151538abd3
hexdbda3d0

230532048 has 80 divisors (see below), whose sum is σ = 664957440. Its totient is φ = 76467456.

The previous prime is 230532037. The next prime is 230532061. The reversal of 230532048 is 840235032.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95140 + ... + 97532.

It is an arithmetic number, because the mean of its divisors is an integer number (8311968).

Almost surely, 2230532048 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 230532048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332478720).

230532048 is an abundant number, since it is smaller than the sum of its proper divisors (434425392).

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

230532048 is a wasteful number, since it uses less digits than its factorization.

230532048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 230532048 is about 15183.2818586760. The cubic root of 230532048 is about 613.1646411725.

The spelling of 230532048 in words is "two hundred thirty million, five hundred thirty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 223 432 446 669 892 1338 1784 2007 2393 2676 3568 4014 4786 5352 6021 7179 8028 9572 10704 12042 14358 16056 19144 21537 24084 28716 32112 38288 43074 48168 57432 64611 86148 96336 114864 129222 172296 258444 344592 516888 533639 1033776 1067278 1600917 2134556 3201834 4269112 4802751 6403668 8538224 9605502 12807336 14408253 19211004 25614672 28816506 38422008 57633012 76844016 115266024 230532048