Base | Representation |
---|---|
bin | 10101100011010111… |
… | …110010001010001001 |
3 | 2012201210210012101211 |
4 | 111203113302022021 |
5 | 334343324000000 |
6 | 14344205413121 |
7 | 1446323613211 |
oct | 254327621211 |
9 | 65653705354 |
10 | 23142015625 |
11 | 98a6078953 |
12 | 459a26a1a1 |
13 | 224a623a91 |
14 | 11976d9241 |
15 | 906a137ba |
hex | 5635f2289 |
23142015625 has 21 divisors (see below), whose sum is σ = 28950938017. Its totient is φ = 18498400000.
The previous prime is 23142015613. The next prime is 23142015641. The reversal of 23142015625 is 52651024132.
The square root of 23142015625 is 152125.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 10 ways, for example, as 15909533689 + 7232481936 = 126133^2 + 85044^2 .
It is not a de Polignac number, because 23142015625 - 213 = 23142007433 is a prime.
It is a Duffinian number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 19015017 + ... + 19016233.
Almost surely, 223142015625 is an apocalyptic number.
23142015625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.
23142015625 is the 152125-th square number.
23142015625 is the 76063-rd centered octagonal number.
It is an amenable number.
23142015625 is a deficient number, since it is larger than the sum of its proper divisors (5808922392).
23142015625 is an frugal number, since it uses more digits than its factorization.
23142015625 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2464 (or 1222 counting only the distinct ones).
The product of its (nonzero) digits is 14400, while the sum is 31.
Multiplying 23142015625 by its product of nonzero digits (14400), we get a square (333245025000000 = 182550002).
Adding to 23142015625 its reverse (52651024132), we get a palindrome (75793039757).
The spelling of 23142015625 in words is "twenty-three billion, one hundred forty-two million, fifteen thousand, six hundred twenty-five".
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