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188101225 = 521322112
BaseRepresentation
bin10110011011000…
…11001001101001
3111002221112101001
423031203021221
5341123214400
630355355001
74442556034
oct1315431151
9432845331
10188101225
11971a6264
1252bb2a61
132cc7c400
141ada601b
15117a8a6a
hexb363269

188101225 has 27 divisors (see below), whose sum is σ = 253770309. Its totient is φ = 138247200.

The previous prime is 188101219. The next prime is 188101231. The reversal of 188101225 is 522101881.

The square root of 188101225 is 13715.

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

188101225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (188101219) and next prime (188101231).

It can be written as a sum of positive squares in 4 ways, for example, as 48483369 + 139617856 = 6963^2 + 11816^2 .

It is not a de Polignac number, because 188101225 - 29 = 188100713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 188101193 and 188101202.

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, 891370 + ... + 891580.

Almost surely, 2188101225 is an apocalyptic number.

188101225 is the 13715-th square number.

188101225 is the 6858-th centered octagonal number.

It is an amenable number.

188101225 is a deficient number, since it is larger than the sum of its proper divisors (65669084).

188101225 is an equidigital number, since it uses as much as digits as its factorization.

188101225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 28.

The cubic root of 188101225 is about 572.9682292913.

The spelling of 188101225 in words is "one hundred eighty-eight million, one hundred one thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 211 325 845 1055 2743 4225 5275 13715 35659 44521 68575 178295 222605 578773 891475 1113025 2893865 7524049 14469325 37620245 188101225