Search a number
-
+
233928550560 = 2535487351147
BaseRepresentation
bin1101100111011100111…
…0100110100010100000
3211100210212211122010010
43121313032212202200
512313041202104220
6255244300404520
722620652605015
oct3316716464240
9740725748103
10233928550560
1190232628431
1239406246740
13190a057a4b3
14b4721a170c
156141e0d1e0
hex36773a68a0

233928550560 has 48 divisors (see below), whose sum is σ = 736874935776. Its totient is φ = 62380946688.

The previous prime is 233928550459. The next prime is 233928550567. The reversal of 233928550560 is 65055829332.

233928550560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is not an unprimeable number, because it can be changed into a prime (233928550567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243675094 + ... + 243676053.

It is an arithmetic number, because the mean of its divisors is an integer number (15351561162).

Almost surely, 2233928550560 is an apocalyptic number.

233928550560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233928550560 is an abundant number, since it is smaller than the sum of its proper divisors (502946385216).

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

233928550560 is a wasteful number, since it uses less digits than its factorization.

233928550560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487351165 (or 487351157 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 48.

The spelling of 233928550560 in words is "two hundred thirty-three billion, nine hundred twenty-eight million, five hundred fifty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 487351147 974702294 1462053441 1949404588 2436755735 2924106882 3898809176 4873511470 5848213764 7310267205 7797618352 9747022940 11696427528 14620534410 15595236704 19494045880 23392855056 29241068820 38988091760 46785710112 58482137640 77976183520 116964275280 233928550560