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253633000212 = 22327098199257
BaseRepresentation
bin1110110000110110110…
…1000111001100010100
3220020200010020101111200
43230031231013030110
513123420022001322
6312303431232500
724216155634054
oct3541555071424
9806603211450
10253633000212
1198624242069
12411a5218730
131abc0954767
14c3c1111564
1568e6c488ac
hex3b0db47314

253633000212 has 36 divisors (see below), whose sum is σ = 641143353396. Its totient is φ = 84542290560.

The previous prime is 253633000207. The next prime is 253633000223. The reversal of 253633000212 is 212000336352.

253633000212 is a `hidden beast` number, since 2 + 5 + 3 + 633 + 0 + 0 + 0 + 21 + 2 = 666.

253633000212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 171863310096 + 81769690116 = 414564^2 + 285954^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2505688 + ... + 2604944.

Almost surely, 2253633000212 is an apocalyptic number.

It is an amenable number.

253633000212 is an abundant number, since it is smaller than the sum of its proper divisors (387510353184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253633000212 is a wasteful number, since it uses less digits than its factorization.

253633000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170248 (or 170243 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 253633000212 its reverse (212000336352), we get a palindrome (465633336564).

The spelling of 253633000212 in words is "two hundred fifty-three billion, six hundred thirty-three million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 70981 99257 141962 198514 212943 283924 297771 397028 425886 595542 638829 851772 893313 1191084 1277658 1786626 2555316 3573252 7045361117 14090722234 21136083351 28181444468 42272166702 63408250053 84544333404 126816500106 253633000212