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22242816 = 29331609
BaseRepresentation
bin101010011011…
…0011000000000
31112212001102000
41110312120000
521143232231
62112424000
7360026601
oct124663000
945761360
1022242816
11116123a2
127548000
1347ba23b
142d4dda8
151e456e6
hex1536600

22242816 has 80 divisors (see below), whose sum is σ = 65881200. Its totient is φ = 7409664.

The previous prime is 22242799. The next prime is 22242833. The reversal of 22242816 is 61824222.

It is a happy number.

22242816 is a `hidden beast` number, since 222 + 428 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (22242799) and next prime (22242833).

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 a self number, because there is not a number n which added to its sum of digits gives 22242816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13020 + ... + 14628.

It is an arithmetic number, because the mean of its divisors is an integer number (823515).

Almost surely, 222242816 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 22242816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32940600).

22242816 is an abundant number, since it is smaller than the sum of its proper divisors (43638384).

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

22242816 is an equidigital number, since it uses as much as digits as its factorization.

22242816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1614 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 22242816 is about 4716.2290020736. The cubic root of 22242816 is about 281.2310422777.

The spelling of 22242816 in words is "twenty-two million, two hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1609 1728 2304 3218 3456 4608 4827 6436 6912 9654 12872 13824 14481 19308 25744 28962 38616 43443 51488 57924 77232 86886 102976 115848 154464 173772 205952 231696 308928 347544 411904 463392 617856 695088 823808 926784 1235712 1390176 1853568 2471424 2780352 3707136 5560704 7414272 11121408 22242816