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14922820 = 22511292339
BaseRepresentation
bin111000111011…
…010001000100
31001002011021001
4320323101010
512310012240
61251503044
7240561523
oct70732104
931064231
1014922820
118472810
124bb7a84
133126493
141da64ba
15149b89a
hexe3b444

14922820 has 48 divisors (see below), whose sum is σ = 35380800. Its totient is φ = 5237120.

The previous prime is 14922799. The next prime is 14922823. The reversal of 14922820 is 2822941.

It is not an unprimeable number, because it can be changed into a prime (14922823) 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, 5211 + ... + 7549.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 214922820 is an apocalyptic number.

14922820 is a gapful number since it is divisible by the number (10) 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 14922820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690400).

14922820 is an abundant number, since it is smaller than the sum of its proper divisors (20457980).

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

14922820 is a wasteful number, since it uses less digits than its factorization.

14922820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 14922820 is about 3863.0066010816. The cubic root of 14922820 is about 246.1974971166.

The spelling of 14922820 in words is "fourteen million, nine hundred twenty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 2339 3190 4678 6380 9356 11695 23390 25729 46780 51458 67831 102916 128645 135662 257290 271324 339155 514580 678310 746141 1356620 1492282 2984564 3730705 7461410 14922820