Search a number
-
+
232288760720 = 245101127226367
BaseRepresentation
bin1101100001010101111…
…1010011001110010000
3211012120121021200100002
43120111133103032100
512301211410320340
6254413442145132
722532221613432
oct3302537231620
9735517250302
10232288760720
118a570a4a015
12390290521a8
1318b9b922753
14b3584b0652
156097e9e715
hex36157d3390

232288760720 has 80 divisors (see below), whose sum is σ = 549715673088. Its totient is φ = 91270771200.

The previous prime is 232288760719. The next prime is 232288760723. The reversal of 232288760720 is 27067882232.

232288760720 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 (80).

It is not an unprimeable number, because it can be changed into a prime (232288760723) 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 15 ways as a sum of consecutive naturals, for example, 912977 + ... + 1139343.

Almost surely, 2232288760720 is an apocalyptic number.

232288760720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232288760720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274857836544).

232288760720 is an abundant number, since it is smaller than the sum of its proper divisors (317426912368).

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

232288760720 is a wasteful number, since it uses less digits than its factorization.

232288760720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226608 (or 226602 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 47.

The spelling of 232288760720 in words is "two hundred thirty-two billion, two hundred eighty-eight million, seven hundred sixty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 127 202 254 404 505 508 635 808 1010 1016 1270 1616 2020 2032 2540 4040 5080 8080 10160 12827 25654 51308 64135 102616 128270 205232 226367 256540 452734 513080 905468 1026160 1131835 1810936 2263670 3621872 4527340 9054680 18109360 22863067 28748609 45726134 57497218 91452268 114315335 114994436 143743045 182904536 228630670 229988872 287486090 365809072 457261340 459977744 574972180 914522680 1149944360 1829045360 2299888720 2903609509 5807219018 11614438036 14518047545 23228876072 29036095090 46457752144 58072190180 116144380360 232288760720