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252224903 = 7217302791
BaseRepresentation
bin11110000100010…
…10010110000111
3122120121100112002
433002022112013
51004032144103
641010015515
76151606400
oct1702122607
9576540462
10252224903
1111a413337
127057759b
1340341308
14256d89a7
1517223488
hexf08a587

252224903 has 12 divisors (see below), whose sum is σ = 310664592. Its totient is φ = 203474880.

The previous prime is 252224899. The next prime is 252224939. The reversal of 252224903 is 309422252.

It is not a de Polignac number, because 252224903 - 22 = 252224899 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252224953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150563 + ... + 152228.

It is an arithmetic number, because the mean of its divisors is an integer number (25888716).

Almost surely, 2252224903 is an apocalyptic number.

252224903 is a deficient number, since it is larger than the sum of its proper divisors (58439689).

252224903 is a wasteful number, since it uses less digits than its factorization.

252224903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302822 (or 302815 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 252224903 is about 15881.5900652296. The cubic root of 252224903 is about 631.8238097426.

The spelling of 252224903 in words is "two hundred fifty-two million, two hundred twenty-four thousand, nine hundred three".

Divisors: 1 7 17 49 119 833 302791 2119537 5147447 14836759 36032129 252224903