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212894574025 = 5272131832
BaseRepresentation
bin1100011001000110000…
…0010110010111001001
3202100111222200220201011
43012101200112113021
511442002002332100
6241445153323521
721244504010200
oct3062140262711
9670458626634
10212894574025
1182319489551
1235315b665a1
13170ca8ca733
14a438846237
1558104edbba
hex31918165c9

212894574025 has 27 divisors (see below), whose sum is σ = 307112857191. Its totient is φ = 145973777040.

The previous prime is 212894574023. The next prime is 212894574037. The reversal of 212894574025 is 520475498212.

The square root of 212894574025 is 461405.

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., 76642046649 + 136252527376 = 276843^2 + 369124^2 .

It is not a de Polignac number, because 212894574025 - 21 = 212894574023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 212894574025.

It is not an unprimeable number, because it can be changed into a prime (212894574023) 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, 16142584 + ... + 16155766.

Almost surely, 2212894574025 is an apocalyptic number.

212894574025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

212894574025 is the 461405-th square number.

212894574025 is the 230703-rd centered octagonal number.

It is an amenable number.

212894574025 is a deficient number, since it is larger than the sum of its proper divisors (94218283166).

212894574025 is an frugal number, since it uses more digits than its factorization.

212894574025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26390 (or 13195 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

Multiplying 212894574025 by its sum of digits (49), we get a square (10431834127225 = 32298352).

212894574025 divided by its sum of digits (49) gives a square (4344787225 = 659152).

The spelling of 212894574025 in words is "two hundred twelve billion, eight hundred ninety-four million, five hundred seventy-four thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 13183 65915 92281 329575 461405 645967 2307025 3229835 16149175 173791489 868957445 1216540423 4344787225 6082702115 8515782961 30413510575 42578914805 212894574025