Base | Representation |
---|---|
bin | 100001100001111110111… |
… | …111000001011101000100 |
3 | 22011021121221202112120100 |
4 | 201201332333001131010 |
5 | 300223032111432100 |
6 | 4522314444204100 |
7 | 325322016443601 |
oct | 41417677013504 |
9 | 8137557675510 |
10 | 2304232920900 |
11 | 80924645a219 |
12 | 3126aab39630 |
13 | 1393993272b1 |
14 | 7d74dc576a8 |
15 | 3ee120c0400 |
hex | 2187efc1744 |
2304232920900 has 81 divisors (see below), whose sum is σ = 7222632820221. Its totient is φ = 614449968480.
The previous prime is 2304232920883. The next prime is 2304232920923. The reversal of 2304232920900 is 90292324032.
The square root of 2304232920900 is 1517970.
It is a perfect power (a square), and thus also a powerful number.
2304232920900 is a `hidden beast` number, since 2 + 3 + 0 + 423 + 29 + 209 + 0 + 0 = 666.
2304232920900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 829523851524 + 1474709069376 = 910782^2 + 1214376^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45513801 + ... + 45564399.
Almost surely, 22304232920900 is an apocalyptic number.
2304232920900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
2304232920900 is the 1517970-th square number.
It is an amenable number.
2304232920900 is an abundant number, since it is smaller than the sum of its proper divisors (4918399899321).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2304232920900 is an frugal number, since it uses more digits than its factorization.
2304232920900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 101218 (or 50609 counting only the distinct ones).
The product of its (nonzero) digits is 46656, while the sum is 36.
Multiplying 2304232920900 by its sum of digits (36), we get a square (82952385152400 = 91078202).
2304232920900 divided by its sum of digits (36) gives a square (64006470025 = 2529952).
The spelling of 2304232920900 in words is "two trillion, three hundred four billion, two hundred thirty-two million, nine hundred twenty thousand, nine hundred".
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