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22664640 = 263523609
BaseRepresentation
bin101011001110…
…1010111000000
31120122111001010
41112131113000
521300232030
62125440520
7363434445
oct126352700
946574033
1022664640
1111880309
127710140
13490723b
14301d9cc
151eca6b0
hex159d5c0

22664640 has 56 divisors (see below), whose sum is σ = 71963280. Its totient is φ = 6043648.

The previous prime is 22664623. The next prime is 22664641. The reversal of 22664640 is 4646622.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22664598 and 22664607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22664641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10845 + ... + 12764.

Almost surely, 222664640 is an apocalyptic number.

22664640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22664640 is an abundant number, since it is smaller than the sum of its proper divisors (49298640).

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

22664640 is a wasteful number, since it uses less digits than its factorization.

22664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23629 (or 23619 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 22664640 is about 4760.7394383646. The cubic root of 22664640 is about 282.9977233478.

The spelling of 22664640 in words is "twenty-two million, six hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 23609 47218 70827 94436 118045 141654 188872 236090 283308 354135 377744 472180 566616 708270 755488 944360 1133232 1416540 1510976 1888720 2266464 2833080 3777440 4532928 5666160 7554880 11332320 22664640