Base | Representation |
---|---|
bin | 1101100011011110101… |
… | …1000011101101001000 |
3 | 211021001120102212202001 |
4 | 3120313223003231020 |
5 | 12303400220040412 |
6 | 254550410320344 |
7 | 22552354423126 |
oct | 3306753035510 |
9 | 737046385661 |
10 | 232862268232 |
11 | 8a835752770 |
12 | 391691290b4 |
13 | 18c606a39c9 |
14 | b3b071c916 |
15 | 60cd4d7957 |
hex | 3637ac3b48 |
232862268232 has 128 divisors (see below), whose sum is σ = 495315025920. Its totient is φ = 101676960000.
The previous prime is 232862268227. The next prime is 232862268253.
232862268232 is nontrivially palindromic in base 10.
232862268232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332185482 + ... + 332186182.
It is an arithmetic number, because the mean of its divisors is an integer number (3869648640).
Almost surely, 2232862268232 is an apocalyptic number.
232862268232 is a gapful number since it is divisible by the number (22) 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 232862268232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247657512960).
232862268232 is an abundant number, since it is smaller than the sum of its proper divisors (262452757688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232862268232 is a wasteful number, since it uses less digits than its factorization.
232862268232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1475 (or 1471 counting only the distinct ones).
The product of its digits is 1327104, while the sum is 46.
The spelling of 232862268232 in words is "two hundred thirty-two billion, eight hundred sixty-two million, two hundred sixty-eight thousand, two hundred thirty-two".
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