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21422664 = 233341259
BaseRepresentation
bin101000110111…
…0001001001000
31111022101101000
41101232021020
520441011124
62043055000
7350042514
oct121561110
944271330
1021422664
111110218a
127211460
134590b43
142bb9144
151d326c9
hex146e248

21422664 has 96 divisors (see below), whose sum is σ = 62028000. Its totient is φ = 6848640.

The previous prime is 21422641. The next prime is 21422689. The reversal of 21422664 is 46622412.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 363067 + ... + 363125.

It is an arithmetic number, because the mean of its divisors is an integer number (646125).

Almost surely, 221422664 is an apocalyptic number.

21422664 is a gapful number since it is divisible by the number (24) 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 21422664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31014000).

21422664 is an abundant number, since it is smaller than the sum of its proper divisors (40605336).

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

21422664 is a wasteful number, since it uses less digits than its factorization.

21422664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 105 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 21422664 is about 4628.4623796678. The cubic root of 21422664 is about 277.7310858171.

The spelling of 21422664 in words is "twenty-one million, four hundred twenty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 59 72 82 108 118 123 164 177 216 236 246 328 354 369 472 492 531 708 738 984 1062 1107 1416 1476 1593 1681 2124 2214 2419 2952 3186 3362 4248 4428 4838 5043 6372 6724 7257 8856 9676 10086 12744 13448 14514 15129 19352 20172 21771 29028 30258 40344 43542 45387 58056 60516 65313 87084 90774 99179 121032 130626 174168 181548 198358 261252 297537 363096 396716 522504 595074 793432 892611 1190148 1785222 2380296 2677833 3570444 5355666 7140888 10711332 21422664