Search a number
-
+
230720580768 = 25317913426477
BaseRepresentation
bin1101011011100000000…
…1001010110010100000
3211001112022110212212010
43112320001022302200
512240003432041033
6253554102432520
722445320402266
oct3267001126240
9731468425763
10230720580768
1189936831227
123886ba32740
13189aba7b212
14b24a100436
156005488863
hex35b804aca0

230720580768 has 48 divisors (see below), whose sum is σ = 609025042080. Its totient is φ = 76477207296.

The previous prime is 230720580733. The next prime is 230720580781. The reversal of 230720580768 is 867085027032.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2307205807682 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 6696055 + ... + 6730422.

It is an arithmetic number, because the mean of its divisors is an integer number (12688021710).

Almost surely, 2230720580768 is an apocalyptic number.

It is an amenable number.

230720580768 is an abundant number, since it is smaller than the sum of its proper divisors (378304461312).

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

230720580768 is a wasteful number, since it uses less digits than its factorization.

230720580768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13426669 (or 13426661 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 230720580768 in words is "two hundred thirty billion, seven hundred twenty million, five hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 179 358 537 716 1074 1432 2148 2864 4296 5728 8592 17184 13426477 26852954 40279431 53705908 80558862 107411816 161117724 214823632 322235448 429647264 644470896 1288941792 2403339383 4806678766 7210018149 9613357532 14420036298 19226715064 28840072596 38453430128 57680145192 76906860256 115360290384 230720580768