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22428252 = 22347112931
BaseRepresentation
bin101010110001…
…1101001011100
31120012110210000
41111203221130
521220201002
62120414300
7361431330
oct125435134
946173700
1022428252
1111729750
127617390
134853772
142d9b7c0
151e8061c
hex1563a5c

22428252 has 240 divisors, whose sum is σ = 78059520. Its totient is φ = 5443200.

The previous prime is 22428233. The next prime is 22428257. The reversal of 22428252 is 25282422.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22428257) 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 79 ways as a sum of consecutive naturals, for example, 723477 + ... + 723507.

It is an arithmetic number, because the mean of its divisors is an integer number (325248).

Almost surely, 222428252 is an apocalyptic number.

22428252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22428252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39029760).

22428252 is an abundant number, since it is smaller than the sum of its proper divisors (55631268).

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

22428252 is a wasteful number, since it uses less digits than its factorization.

22428252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 83 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 22428252 is about 4735.8475482220. The cubic root of 22428252 is about 282.0104115667.

The spelling of 22428252 in words is "twenty-two million, four hundred twenty-eight thousand, two hundred fifty-two".