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212931488025 = 3252307632
BaseRepresentation
bin1100011001001110110…
…1001010100100011001
3202100121120011100012100
43012103231022210121
511442040430104100
6241452552434013
721245432533164
oct3062355124431
9670546140170
10212931488025
1182338301593
12353263a8909
1317105453739
14a43d6d4adb
155813891400
hex3193b4a919

212931488025 has 27 divisors (see below), whose sum is σ = 381396351999. Its totient is φ = 113559768720.

The previous prime is 212931488023. The next prime is 212931488083. The reversal of 212931488025 is 520884139212.

The square root of 212931488025 is 461445.

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

It can be written as a sum of positive squares in only one way, i.e., 76655335689 + 136276152336 = 276867^2 + 369156^2 .

It is not a de Polignac number, because 212931488025 - 21 = 212931488023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (212931488023) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6906294 + ... + 6937056.

Almost surely, 2212931488025 is an apocalyptic number.

212931488025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

212931488025 is the 461445-th square number.

212931488025 is the 230723-rd centered octagonal number.

It is an amenable number.

212931488025 is a deficient number, since it is larger than the sum of its proper divisors (168464863974).

212931488025 is an frugal number, since it uses more digits than its factorization.

212931488025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61542 (or 30771 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 212931488025 in words is "two hundred twelve billion, nine hundred thirty-one million, four hundred eighty-eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 30763 92289 153815 276867 461445 769075 1384335 2307225 6921675 946362169 2839086507 4731810845 8517259521 14195432535 23659054225 42586297605 70977162675 212931488025