Search a number
-
+
230520402 = 23272318431
BaseRepresentation
bin11011011110101…
…11011001010010
3121001202122112200
431233113121102
5433003123102
634512504030
75466251100
oct1557273122
9531678480
10230520402
11109139432
126524b016
13389b2108
1422888c70
151538751c
hexdbd7652

230520402 has 72 divisors (see below), whose sum is σ = 599818752. Its totient is φ = 63730800.

The previous prime is 230520361. The next prime is 230520419. The reversal of 230520402 is 204025032.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23127 + ... + 31557.

It is an arithmetic number, because the mean of its divisors is an integer number (8330816).

Almost surely, 2230520402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230520402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299909376).

230520402 is an abundant number, since it is smaller than the sum of its proper divisors (369298350).

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

230520402 is a wasteful number, since it uses less digits than its factorization.

230520402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8484 (or 8474 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 230520402 is about 15182.8983399086. The cubic root of 230520402 is about 613.1543157308.

Adding to 230520402 its reverse (204025032), we get a palindrome (434545434).

The spelling of 230520402 in words is "two hundred thirty million, five hundred twenty thousand, four hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 93 98 126 147 186 217 279 294 434 441 558 651 882 1302 1519 1953 3038 3906 4557 8431 9114 13671 16862 25293 27342 50586 59017 75879 118034 151758 177051 261361 354102 413119 522722 531153 784083 826238 1062306 1239357 1568166 1829527 2352249 2478714 3659054 3718071 4704498 5488581 7436142 10977162 12806689 16465743 25613378 32931486 38420067 76840134 115260201 230520402