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213356229025 = 52923812
BaseRepresentation
bin1100011010110100000…
…1011011000110100001
3202101201011101102022111
43012231001123012201
511443423143312100
6242003044235321
721262111011142
oct3065501330641
9671634342274
10213356229025
1182536035805
123542469bb41
1317172448384
14a47dc99ac9
15583ace06ba
hex31ad05b1a1

213356229025 has 9 divisors (see below), whose sum is σ = 264564587833. Its totient is φ = 170683135600.

The previous prime is 213356229019. The next prime is 213356229029. The reversal of 213356229025 is 520922653312.

The square root of 213356229025 is 461905.

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 266897569 + 213089331456 = 16337^2 + 461616^2 .

It is not a de Polignac number, because 213356229025 - 221 = 213354131873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213356229029) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 2263335 + ... + 2355715.

Almost surely, 2213356229025 is an apocalyptic number.

213356229025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

213356229025 is the 461905-th square number.

213356229025 is the 230953-rd centered octagonal number.

It is an amenable number.

213356229025 is a deficient number, since it is larger than the sum of its proper divisors (51208358808).

213356229025 is an frugal number, since it uses more digits than its factorization.

213356229025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184772 (or 92386 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

The spelling of 213356229025 in words is "two hundred thirteen billion, three hundred fifty-six million, two hundred twenty-nine thousand, twenty-five".

Divisors: 1 5 25 92381 461905 2309525 8534249161 42671245805 213356229025