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14922252 = 2233233593
BaseRepresentation
bin111000111011…
…001000001100
31001002010111000
4320323020030
512310003002
61251500300
7240560052
oct70731014
931063430
1014922252
118472344
124bb7690
133126147
141da61d2
15149b61c
hexe3b20c

14922252 has 48 divisors (see below), whose sum is σ = 38918880. Its totient is φ = 4944384.

The previous prime is 14922251. The next prime is 14922263. The reversal of 14922252 is 25222941.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14922251) 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 15 ways as a sum of consecutive naturals, for example, 24868 + ... + 25460.

It is an arithmetic number, because the mean of its divisors is an integer number (810810).

Almost surely, 214922252 is an apocalyptic number.

14922252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14922252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19459440).

14922252 is an abundant number, since it is smaller than the sum of its proper divisors (23996628).

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

14922252 is a wasteful number, since it uses less digits than its factorization.

14922252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 831 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 14922252 is about 3862.9330825164. The cubic root of 14922252 is about 246.1943734453.

The spelling of 14922252 in words is "fourteen million, nine hundred twenty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 233 466 593 699 932 1186 1398 1779 2097 2372 2796 3558 4194 5337 6291 7116 8388 10674 12582 16011 21348 25164 32022 64044 138169 276338 414507 552676 829014 1243521 1658028 2487042 3730563 4974084 7461126 14922252