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230518728 = 2332113141229
BaseRepresentation
bin11011011110101…
…10111111001000
3121001202120020200
431233112333020
5433003044403
634512452200
75466243156
oct1557267710
9531676220
10230518728
11109138150
126524a060
13389b141b
14228883d6
1515386ca3
hexdbd6fc8

230518728 has 192 divisors, whose sum is σ = 723340800. Its totient is φ = 65664000.

The previous prime is 230518681. The next prime is 230518741. The reversal of 230518728 is 827815032.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 230518692 and 230518701.

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, 1006518 + ... + 1006746.

It is an arithmetic number, because the mean of its divisors is an integer number (3767400).

Almost surely, 2230518728 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 230518728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361670400).

230518728 is an abundant number, since it is smaller than the sum of its proper divisors (492822072).

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

230518728 is a wasteful number, since it uses less digits than its factorization.

230518728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 230518728 is about 15182.8432119943. The cubic root of 230518728 is about 613.1528315198.

The spelling of 230518728 in words is "two hundred thirty million, five hundred eighteen thousand, seven hundred twenty-eight".