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21223296 = 27342389
BaseRepresentation
bin101000011110…
…1011110000000
31110221020220000
41100331132000
520413121141
62034520000
7345252333
oct120753600
943836800
1021223296
1110a86416
127136000
134521183
142b6661a
151ce35b6
hex143d780

21223296 has 160 divisors (see below), whose sum is σ = 66646800. Its totient is φ = 6690816.

The previous prime is 21223291. The next prime is 21223297. The reversal of 21223296 is 69232212.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21223291) 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 19 ways as a sum of consecutive naturals, for example, 238420 + ... + 238508.

Almost surely, 221223296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21223296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33323400).

21223296 is an abundant number, since it is smaller than the sum of its proper divisors (45423504).

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

21223296 is an equidigital number, since it uses as much as digits as its factorization.

21223296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 117 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 21223296 is about 4606.8748626374. The cubic root of 21223296 is about 276.8668398623.

The spelling of 21223296 in words is "twenty-one million, two hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 89 92 96 108 128 138 144 162 178 184 192 207 216 267 276 288 324 356 368 384 414 432 534 552 576 621 648 712 736 801 828 864 1068 1104 1152 1242 1296 1424 1472 1602 1656 1728 1863 2047 2136 2208 2403 2484 2592 2848 2944 3204 3312 3456 3726 4094 4272 4416 4806 4968 5184 5696 6141 6408 6624 7209 7452 8188 8544 8832 9612 9936 10368 11392 12282 12816 13248 14418 14904 16376 17088 18423 19224 19872 24564 25632 26496 28836 29808 32752 34176 36846 38448 39744 49128 51264 55269 57672 59616 65504 73692 76896 79488 98256 102528 110538 115344 119232 131008 147384 153792 165807 196512 221076 230688 238464 262016 294768 307584 331614 393024 442152 461376 589536 663228 786048 884304 922752 1179072 1326456 1768608 2358144 2652912 3537216 5305824 7074432 10611648 21223296