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22042752 = 273137419
BaseRepresentation
bin101010000010…
…1100010000000
31112110212222020
41110011202000
521120332002
62104241440
7355234404
oct124054200
945425866
1022042752
1111496056
127470280
13474a164
142cdb104
151e062bc
hex1505880

22042752 has 64 divisors (see below), whose sum is σ = 59119200. Its totient is φ = 7276544.

The previous prime is 22042751. The next prime is 22042771. The reversal of 22042752 is 25724022.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (22042751) 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, 52399 + ... + 52817.

Almost surely, 222042752 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 22042752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29559600).

22042752 is an abundant number, since it is smaller than the sum of its proper divisors (37076448).

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

22042752 is a wasteful number, since it uses less digits than its factorization.

22042752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 22042752 is about 4694.9709264276. The cubic root of 22042752 is about 280.3853198420.

Adding to 22042752 its reverse (25724022), we get a palindrome (47766774).

The spelling of 22042752 in words is "twenty-two million, forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 274 384 411 419 548 822 838 1096 1257 1644 1676 2192 2514 3288 3352 4384 5028 6576 6704 8768 10056 13152 13408 17536 20112 26304 26816 40224 52608 53632 57403 80448 114806 160896 172209 229612 344418 459224 688836 918448 1377672 1836896 2755344 3673792 5510688 7347584 11021376 22042752