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156353022225 = 36522921012
BaseRepresentation
bin1001000110011101011…
…1011100100100010001
3112221120111210111000000
42101213113130210101
510030202333202400
6155454431520213
714203400521641
oct2214727344421
9487514714000
10156353022225
1160344228844
1226376389069
131198981bbca
1477d3416521
1541016eb600
hex24675dc911

156353022225 has 189 divisors, whose sum is σ = 304063094179. Its totient is φ = 79715664000.

The previous prime is 156353022211. The next prime is 156353022229. The reversal of 156353022225 is 522220353651.

The square root of 156353022225 is 395415.

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

156353022225 is a `hidden beast` number, since 1 + 563 + 53 + 0 + 2 + 22 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 15178486401 + 141174535824 = 123201^2 + 375732^2 .

It is not a de Polignac number, because 156353022225 - 213 = 156353014033 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 156353022225.

It is not an unprimeable number, because it can be changed into a prime (156353022229) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1548049675 + ... + 1548049775.

Almost surely, 2156353022225 is an apocalyptic number.

156353022225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

156353022225 is the 395415-th square number.

156353022225 is the 197708-th centered octagonal number.

It is an amenable number.

156353022225 is a deficient number, since it is larger than the sum of its proper divisors (147710071954).

156353022225 is an frugal number, since it uses more digits than its factorization.

156353022225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Multiplying 156353022225 by its sum of digits (36), we get a square (5628708800100 = 23724902).

Adding to 156353022225 its reverse (522220353651), we get a palindrome (678573375876).

The spelling of 156353022225 in words is "one hundred fifty-six billion, three hundred fifty-three million, twenty-two thousand, two hundred twenty-five".