Search a number
-
+
188369020225 = 5261214232
BaseRepresentation
bin1010111101101110101…
…0110010010101000001
3200000012202112200201201
42233123222302111001
511041234432121400
6222311401501201
716415650152661
oct2573352622501
9600182480651
10188369020225
1172983445a21
12306104a1801
13149bc770019
14918d4c21a1
154d772e806a
hex2bdbab2541

188369020225 has 27 divisors (see below), whose sum is σ = 237636495369. Its totient is φ = 148120639200.

The previous prime is 188369020219. The next prime is 188369020261. The reversal of 188369020225 is 522020963881.

The square root of 188369020225 is 434015.

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 86766182721 + 101602837504 = 294561^2 + 318752^2 .

It is not a de Polignac number, because 188369020225 - 225 = 188335465793 is a prime.

It is a Duffinian number.

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, 132373864 + ... + 132375286.

Almost surely, 2188369020225 is an apocalyptic number.

188369020225 is the 434015-th square number.

188369020225 is the 217008-th centered octagonal number.

It is an amenable number.

188369020225 is a deficient number, since it is larger than the sum of its proper divisors (49267475144).

188369020225 is an frugal number, since it uses more digits than its factorization.

188369020225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2978 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 188369020225 in words is "one hundred eighty-eight billion, three hundred sixty-nine million, twenty thousand, two hundred twenty-five".

Divisors: 1 5 25 61 305 1423 1525 3721 7115 18605 35575 86803 93025 434015 2024929 2170075 5294983 10124645 26474915 50623225 123520669 132374575 617603345 3088016725 7534760809 37673804045 188369020225