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188439726202225 = 5227454672
BaseRepresentation
bin101010110110001010001010…
…111100010001110101110001
3220201012122212111222111022221
4222312022022330101311301
5144144344024401432400
61504440003134001041
754456215040324541
oct5266121274216561
9821178774874287
10188439726202225
1155051925911633
1219174a6b046181
13811ba36637584
1434767622a3321
1516bbb3a4b8c1a
hexab628af11d71

188439726202225 has 9 divisors (see below), whose sum is σ = 233665345600267. Its totient is φ = 150751726052440.

The previous prime is 188439726202219. The next prime is 188439726202229. The reversal of 188439726202225 is 522202627934881.

It is a happy number.

The square root of 188439726202225 is 13727335.

It is a perfect power (a square), and thus also a powerful number.

188439726202225 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., 67838301432801 + 120601424769424 = 8236401^2 + 10981868^2 .

It is not a de Polignac number, because 188439726202225 - 27 = 188439726202097 is a prime.

It is a super-2 number, since 2×1884397262022252 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (188439726202229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 67263942 + ... + 70009408.

It is a 1-persistent number, because it is pandigital, but 2⋅188439726202225 = 376879452404450 is not.

Almost surely, 2188439726202225 is an apocalyptic number.

188439726202225 is the 13727335-th square number.

188439726202225 is the 6863668-th centered octagonal number.

It is an amenable number.

188439726202225 is a deficient number, since it is larger than the sum of its proper divisors (45225619398042).

188439726202225 is an frugal number, since it uses more digits than its factorization.

188439726202225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5490944 (or 2745472 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 61.

The spelling of 188439726202225 in words is "one hundred eighty-eight trillion, four hundred thirty-nine billion, seven hundred twenty-six million, two hundred two thousand, two hundred twenty-five".

Divisors: 1 5 25 2745467 13727335 68636675 7537589048089 37687945240445 188439726202225