Search a number
-
+
232305133454320 = 24519152832324641
BaseRepresentation
bin110100110100011111000000…
…111101011000001111110000
31010110112011011011121012020111
4310310133000331120033300
5220422041403131014240
62142023301030351104
766634330524050533
oct6464370075301760
91113464134535214
10232305133454320
116802406571a713
122207a35b1bb494
139c81384477814
1441518b2682a1a
151bccbca01d1ea
hexd347c0f583f0

232305133454320 has 40 divisors (see below), whose sum is σ = 568536247668240. Its totient is φ = 88031418992640.

The previous prime is 232305133454281. The next prime is 232305133454321. The reversal of 232305133454320 is 23454331503232.

232305133454320 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 (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232305133454321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76416160801 + ... + 76416163840.

It is an arithmetic number, because the mean of its divisors is an integer number (14213406191706).

Almost surely, 2232305133454320 is an apocalyptic number.

232305133454320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232305133454320 is an abundant number, since it is smaller than the sum of its proper divisors (336231114213920).

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

232305133454320 is a wasteful number, since it uses less digits than its factorization.

232305133454320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152832324673 (or 152832324667 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 40.

Adding to 232305133454320 its reverse (23454331503232), we get a palindrome (255759464957552).

The spelling of 232305133454320 in words is "two hundred thirty-two trillion, three hundred five billion, one hundred thirty-three million, four hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 152832324641 305664649282 611329298564 764161623205 1222658597128 1528323246410 2445317194256 2903814168179 3056646492820 5807628336358 6113292985640 11615256672716 12226585971280 14519070840895 23230513345432 29038141681790 46461026690864 58076283363580 116152566727160 232305133454320