Search a number
-
+
230312213032 = 231117914621141
BaseRepresentation
bin1101011001111110101…
…1010111101000101000
3211000110212001122122011
43112133223113220220
512233134411304112
6253445354005304
722432231336636
oct3263753275050
9730425048564
10230312213032
1189747270530
1238777116834
1318945299cc5
14b20bb9c356
155ece6c0aa7
hex359fad7a28

230312213032 has 32 divisors (see below), whose sum is σ = 473725000800. Its totient is φ = 104102516800.

The previous prime is 230312213003. The next prime is 230312213081.

230312213032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 230312212994 and 230312213012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7294819 + ... + 7326322.

It is an arithmetic number, because the mean of its divisors is an integer number (14803906275).

Almost surely, 2230312213032 is an apocalyptic number.

230312213032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230312213032 is an abundant number, since it is smaller than the sum of its proper divisors (243412787768).

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

230312213032 is a wasteful number, since it uses less digits than its factorization.

230312213032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14621337 (or 14621333 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

It can be divided in two parts, 230312 and 213032, that added together give a palindrome (443344).

The spelling of 230312213032 in words is "two hundred thirty billion, three hundred twelve million, two hundred thirteen thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 179 358 716 1432 1969 3938 7876 15752 14621141 29242282 58484564 116969128 160832551 321665102 643330204 1286660408 2617184239 5234368478 10468736956 20937473912 28789026629 57578053258 115156106516 230312213032