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230790546 = 2347434733
BaseRepresentation
bin11011100000110…
…01010110010010
3121002021101010000
431300121112102
5433040244141
634522350430
75501454510
oct1560312622
9532241100
10230790546
11109303398
126535b416
1338a7806c
14229194b0
15153dc5b6
hexdc19592

230790546 has 80 divisors (see below), whose sum is σ = 604891584. Its totient is φ = 64393056.

The previous prime is 230790523. The next prime is 230790557. The reversal of 230790546 is 645097032.

230790546 is a `hidden beast` number, since 23 + 0 + 7 + 90 + 546 = 666.

It is a super-2 number, since 2×2307905462 = 106528552245956232, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 230790546.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46396 + ... + 51128.

Almost surely, 2230790546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230790546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302445792).

230790546 is an abundant number, since it is smaller than the sum of its proper divisors (374101038).

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

230790546 is a wasteful number, since it uses less digits than its factorization.

230790546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4797 (or 4788 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 230790546 is about 15191.7920601883. The cubic root of 230790546 is about 613.3937382090.

The spelling of 230790546 in words is "two hundred thirty million, seven hundred ninety thousand, five hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 81 86 126 129 162 189 258 301 378 387 567 602 774 903 1134 1161 1806 2322 2709 3483 4733 5418 6966 8127 9466 14199 16254 24381 28398 33131 42597 48762 66262 85194 99393 127791 198786 203519 255582 298179 383373 407038 596358 610557 766746 894537 1221114 1424633 1789074 1831671 2683611 2849266 3663342 4273899 5367222 5495013 8547798 10990026 12821697 16485039 25643394 32970078 38465091 76930182 115395273 230790546