Base | Representation |
---|---|
bin | 1000010100001110… |
… | …1100011000110000 |
3 | 12202120112112000000 |
4 | 2011003230120300 |
5 | 14032434303333 |
6 | 1005302430000 |
7 | 106214362650 |
oct | 20503543060 |
9 | 5676475000 |
10 | 2232337968 |
11 | a46107613 |
12 | 523732300 |
13 | 297644853 |
14 | 172698360 |
15 | d0ea8713 |
hex | 850ec630 |
2232337968 has 280 divisors, whose sum is σ = 7806643200. Its totient is φ = 603821952.
The previous prime is 2232337967. The next prime is 2232337969. The reversal of 2232337968 is 8697332322.
2232337968 is a `hidden beast` number, since 223 + 2 + 337 + 96 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (2232337967) and next prime (2232337969).
It is a super-3 number, since 3×22323379683 (a number of 29 digits) contains 333 as substring.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (2232337963) by changing a digit.
It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1550593 + ... + 1552031.
Almost surely, 22232337968 is an apocalyptic number.
2232337968 is a gapful number since it is divisible by the number (28) 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 2232337968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903321600).
2232337968 is an abundant number, since it is smaller than the sum of its proper divisors (5574305232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2232337968 is a wasteful number, since it uses less digits than its factorization.
2232337968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1491 (or 1470 counting only the distinct ones).
The product of its digits is 653184, while the sum is 45.
The square root of 2232337968 is about 47247.6239402576. The cubic root of 2232337968 is about 1306.9329737419.
The spelling of 2232337968 in words is "two billion, two hundred thirty-two million, three hundred thirty-seven thousand, nine hundred sixty-eight".
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