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210122144 = 2511358109
BaseRepresentation
bin11001000011000…
…11010110100000
3112122101022101122
430201203112200
5412242402034
632503351412
75131003001
oct1441432640
9478338348
10210122144
11a8676971
125a452568
13346bc63b
141dc991a8
15136a862e
hexc8635a0

210122144 has 24 divisors (see below), whose sum is σ = 417346020. Its totient is φ = 104129536.

The previous prime is 210122141. The next prime is 210122153. The reversal of 210122144 is 441221012.

It can be written as a sum of positive squares in 2 ways, for example, as 161290000 + 48832144 = 12700^2 + 6988^2 .

It is not an unprimeable number, because it can be changed into a prime (210122141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25439 + ... + 32670.

Almost surely, 2210122144 is an apocalyptic number.

It is an amenable number.

210122144 is a deficient number, since it is larger than the sum of its proper divisors (207223876).

210122144 is a wasteful number, since it uses less digits than its factorization.

210122144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58232 (or 58224 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 210122144 is about 14495.5905019423. The cubic root of 210122144 is about 594.5074133222.

Adding to 210122144 its reverse (441221012), we get a palindrome (651343156).

The spelling of 210122144 in words is "two hundred ten million, one hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 113 226 452 904 1808 3616 58109 116218 232436 464872 929744 1859488 6566317 13132634 26265268 52530536 105061072 210122144