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22664152 = 2374779109
BaseRepresentation
bin101011001110…
…1001111011000
31120122110101001
41112131033120
521300223102
62125434344
7363433150
oct126351730
946573331
1022664152
111187aa05
12770b9b4
134906c54
14301d760
151eca487
hex159d3d8

22664152 has 64 divisors (see below), whose sum is σ = 50688000. Its totient is φ = 9300096.

The previous prime is 22664141. The next prime is 22664153. The reversal of 22664152 is 25146622.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 22664152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22664153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207874 + ... + 207982.

It is an arithmetic number, because the mean of its divisors is an integer number (792000).

Almost surely, 222664152 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 22664152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25344000).

22664152 is an abundant number, since it is smaller than the sum of its proper divisors (28023848).

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

22664152 is a wasteful number, since it uses less digits than its factorization.

22664152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 244 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 22664152 is about 4760.6881855463. The cubic root of 22664152 is about 282.9956922268.

The spelling of 22664152 in words is "twenty-two million, six hundred sixty-four thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 47 56 79 94 109 158 188 218 316 329 376 436 553 632 658 763 872 1106 1316 1526 2212 2632 3052 3713 4424 5123 6104 7426 8611 10246 14852 17222 20492 25991 29704 34444 35861 40984 51982 60277 68888 71722 103964 120554 143444 207928 241108 286888 404717 482216 809434 1618868 2833019 3237736 5666038 11332076 22664152