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22794048 = 26344397
BaseRepresentation
bin101011011110…
…0111101000000
31120220001120000
41112330331000
521313402143
62132320000
7364513644
oct126747500
946801500
1022794048
1111959562
127773000
134951104
143054c24
152003bd3
hex15bcf40

22794048 has 70 divisors (see below), whose sum is σ = 67584066. Its totient is φ = 7596288.

The previous prime is 22794007. The next prime is 22794049. The reversal of 22794048 is 84049722.

It can be written as a sum of positive squares in only one way, i.e., 19289664 + 3504384 = 4392^2 + 1872^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22794049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2986 + ... + 7382.

Almost surely, 222794048 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 22794048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33792033).

22794048 is an abundant number, since it is smaller than the sum of its proper divisors (44790018).

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

22794048 is an equidigital number, since it uses as much as digits as its factorization.

22794048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4421 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 22794048 is about 4774.3112592289. The cubic root of 22794048 is about 283.5353109624.

The spelling of 22794048 in words is "twenty-two million, seven hundred ninety-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 4397 5184 8794 13191 17588 26382 35176 39573 52764 70352 79146 105528 118719 140704 158292 211056 237438 281408 316584 356157 422112 474876 633168 712314 844224 949752 1266336 1424628 1899504 2532672 2849256 3799008 5698512 7598016 11397024 22794048