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21968625 = 35378369
BaseRepresentation
bin101001111001…
…1011011110001
31112100010021210
41103303123301
521110444000
62102510333
7354505320
oct123633361
945303253
1021968625
1111445398
1274353a9
1347224b3
142cbc0b7
151dde350
hex14f36f1

21968625 has 32 divisors (see below), whose sum is σ = 41783040. Its totient is φ = 10041600.

The previous prime is 21968603. The next prime is 21968633. The reversal of 21968625 is 52686912.

It is not a de Polignac number, because 21968625 - 222 = 17774321 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1560 + ... + 6809.

It is an arithmetic number, because the mean of its divisors is an integer number (1305720).

Almost surely, 221968625 is an apocalyptic number.

21968625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21968625 is a deficient number, since it is larger than the sum of its proper divisors (19814415).

21968625 is an equidigital number, since it uses as much as digits as its factorization.

21968625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8394 (or 8384 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 21968625 is about 4687.0699802755. The cubic root of 21968625 is about 280.0706666874.

The spelling of 21968625 in words is "twenty-one million, nine hundred sixty-eight thousand, six hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 125 175 375 525 875 2625 8369 25107 41845 58583 125535 175749 209225 292915 627675 878745 1046125 1464575 3138375 4393725 7322875 21968625