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22381056 = 29331619
BaseRepresentation
bin101010101100…
…0001000000000
31120010002001000
41111120020000
521212143211
62115412000
7361143615
oct125301000
946102030
1022381056
11116a7245
1275b4000
134838139
142d8850c
151e71656
hex1558200

22381056 has 80 divisors (see below), whose sum is σ = 66290400. Its totient is φ = 7455744.

The previous prime is 22381049. The next prime is 22381057. The reversal of 22381056 is 65018322.

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

It is not an unprimeable number, because it can be changed into a prime (22381057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13015 + ... + 14633.

It is an arithmetic number, because the mean of its divisors is an integer number (828630).

Almost surely, 222381056 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 22381056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33145200).

22381056 is an abundant number, since it is smaller than the sum of its proper divisors (43909344).

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

22381056 is an equidigital number, since it uses as much as digits as its factorization.

22381056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 22381056 is about 4730.8620778881. The cubic root of 22381056 is about 281.8124601872.

Adding to 22381056 its reverse (65018322), we get a palindrome (87399378).

The spelling of 22381056 in words is "twenty-two million, three hundred eighty-one thousand, fifty-six".

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 1619 1728 2304 3238 3456 4608 4857 6476 6912 9714 12952 13824 14571 19428 25904 29142 38856 43713 51808 58284 77712 87426 103616 116568 155424 174852 207232 233136 310848 349704 414464 466272 621696 699408 828928 932544 1243392 1398816 1865088 2486784 2797632 3730176 5595264 7460352 11190528 22381056