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21968430 = 2351166571
BaseRepresentation
bin101001111001…
…1011000101110
31112100010000120
41103303120232
521110442210
62102505410
7354504621
oct123633056
945303016
1021968430
1111445230
127435266
134722393
142cbbdb8
151dde270
hex14f362e

21968430 has 32 divisors (see below), whose sum is σ = 57518208. Its totient is φ = 5325600.

The previous prime is 21968413. The next prime is 21968431. The reversal of 21968430 is 3486912.

It is a super-2 number, since 2×219684302 = 965223833329800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21968391 and 21968400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21968431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32956 + ... + 33615.

It is an arithmetic number, because the mean of its divisors is an integer number (1797444).

Almost surely, 221968430 is an apocalyptic number.

21968430 is an abundant number, since it is smaller than the sum of its proper divisors (35549778).

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

21968430 is a wasteful number, since it uses less digits than its factorization.

21968430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66592.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 21968430 is about 4687.0491783210. The cubic root of 21968430 is about 280.0698380216.

The spelling of 21968430 in words is "twenty-one million, nine hundred sixty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 66571 133142 199713 332855 399426 665710 732281 998565 1464562 1997130 2196843 3661405 4393686 7322810 10984215 21968430