Search a number
-
+
230133020424 = 23375712666943
BaseRepresentation
bin1101011001010011111…
…1110011011100001000
3211000000100212201120220
43112110333303130020
512232303023123144
6253415513150040
722424624253336
oct3262477633410
9730010781526
10230133020424
11896650aa46a
12387270bb320
1318917119788
14b1d2074b56
155ebdac6919
hex3594ff3708

230133020424 has 32 divisors (see below), whose sum is σ = 576092613120. Its totient is φ = 76609665216.

The previous prime is 230133020393. The next prime is 230133020473. The reversal of 230133020424 is 424020331032.

It is a super-2 number, since 2×2301330204242 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 230133020394 and 230133020403.

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, 6315304 + ... + 6351639.

It is an arithmetic number, because the mean of its divisors is an integer number (18002894160).

Almost surely, 2230133020424 is an apocalyptic number.

230133020424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230133020424 is an abundant number, since it is smaller than the sum of its proper divisors (345959592696).

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

230133020424 is a wasteful number, since it uses less digits than its factorization.

230133020424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12667709 (or 12667705 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 230133020424 its reverse (424020331032), we get a palindrome (654153351456).

The spelling of 230133020424 in words is "two hundred thirty billion, one hundred thirty-three million, twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 757 1514 2271 3028 4542 6056 9084 18168 12666943 25333886 38000829 50667772 76001658 101335544 152003316 304006632 9588875851 19177751702 28766627553 38355503404 57533255106 76711006808 115066510212 230133020424