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22189428 = 22323159337
BaseRepresentation
bin101010010100…
…1010101110100
31112202100011200
41110221111310
521140030203
62111332500
7356415132
oct124512564
945670150
1022189428
1111586278
127521130
13479bb51
142d38752
151e349a3
hex1529574

22189428 has 72 divisors (see below), whose sum is σ = 59055360. Its totient is φ = 7015680.

The previous prime is 22189423. The next prime is 22189439. The reversal of 22189428 is 82498122.

22189428 is a `hidden beast` number, since 221 + 8 + 9 + 428 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 22189392 and 22189401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22189423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65676 + ... + 66012.

Almost surely, 222189428 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 22189428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29527680).

22189428 is an abundant number, since it is smaller than the sum of its proper divisors (36865932).

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

22189428 is a wasteful number, since it uses less digits than its factorization.

22189428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 432 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 22189428 is about 4710.5655711390. The cubic root of 22189428 is about 281.0058550892.

The spelling of 22189428 in words is "twenty-two million, one hundred eighty-nine thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 59 62 93 118 124 177 186 236 279 337 354 372 531 558 674 708 1011 1062 1116 1348 1829 2022 2124 3033 3658 4044 5487 6066 7316 10447 10974 12132 16461 19883 20894 21948 31341 32922 39766 41788 59649 62682 65844 79532 94023 119298 125364 178947 188046 238596 357894 376092 616373 715788 1232746 1849119 2465492 3698238 5547357 7396476 11094714 22189428