Base | Representation |
---|---|
bin | 10101110011110101… |
… | …010001010100100100 |
3 | 2020110001102211221100 |
4 | 111303311101110210 |
5 | 340430023242100 |
6 | 14431432520100 |
7 | 1456216152612 |
oct | 256365212444 |
9 | 66401384840 |
10 | 23418180900 |
11 | 9a27a52a14 |
12 | 4656850030 |
13 | 22928c7b9a |
14 | 11c22666b2 |
15 | 920db5400 |
hex | 573d51524 |
23418180900 has 81 divisors (see below), whose sum is σ = 73417379763. Its totient is φ = 6243624000.
The previous prime is 23418180893. The next prime is 23418180923. The reversal of 23418180900 is 908181432.
The square root of 23418180900 is 153030.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 14540018724 + 8878162176 = 120582^2 + 94224^2 .
It is a super-2 number, since 2×234181809002 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
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 26 ways as a sum of consecutive naturals, for example, 4588350 + ... + 4593450.
Almost surely, 223418180900 is an apocalyptic number.
23418180900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
23418180900 is the 153030-th square number.
It is an amenable number.
23418180900 is an abundant number, since it is smaller than the sum of its proper divisors (49999198863).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23418180900 is an equidigital number, since it uses as much as digits as its factorization.
23418180900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10222 (or 5111 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 36.
Multiplying 23418180900 by its sum of digits (36), we get a square (843054512400 = 9181802).
23418180900 divided by its sum of digits (36) gives a square (650505025 = 255052).
The spelling of 23418180900 in words is "twenty-three billion, four hundred eighteen million, one hundred eighty thousand, nine hundred".
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