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252212164407 = 32717235492217
BaseRepresentation
bin1110101011100100000…
…1000011011100110111
3220010000002200110012100
43222321001003130313
513113012303230112
6311510433553143
724136024011450
oct3527101033467
9803002613170
10252212164407
1197a652120a5
1240a694157b3
131aa2548c308
14c2c8538127
15686213a2dc
hex3ab9043737

252212164407 has 24 divisors (see below), whose sum is σ = 440841432096. Its totient is φ = 135643516416.

The previous prime is 252212164367. The next prime is 252212164411. The reversal of 252212164407 is 704461212252.

252212164407 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 1 + 2 + 1 + 644 + 0 + 7 = 666.

It is not a de Polignac number, because 252212164407 - 210 = 252212163383 is a prime.

It is a super-2 number, since 2×2522121644072 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252212164427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117745038 + ... + 117747179.

It is an arithmetic number, because the mean of its divisors is an integer number (18368393004).

Almost surely, 2252212164407 is an apocalyptic number.

252212164407 is a deficient number, since it is larger than the sum of its proper divisors (188629267689).

252212164407 is a wasteful number, since it uses less digits than its factorization.

252212164407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235492247 (or 235492244 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 252212164407 its reverse (704461212252), we get a palindrome (956673376659).

The spelling of 252212164407 in words is "two hundred fifty-two billion, two hundred twelve million, one hundred sixty-four thousand, four hundred seven".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 235492217 706476651 1648445519 2119429953 4003367689 4945336557 12010103067 14836009671 28023573823 36030309201 84070721469 252212164407