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22241628 = 2234193613
BaseRepresentation
bin101010011011…
…0000101011100
31112211222210000
41110312011130
521143213003
62112414300
7360023253
oct124660534
945758700
1022241628
1111611512
127547390
1347b9836
142d4d79a
151e451a3
hex153615c

22241628 has 60 divisors (see below), whose sum is σ = 61221160. Its totient is φ = 7021728.

The previous prime is 22241623. The next prime is 22241689. The reversal of 22241628 is 82614222.

It is a happy number.

22241628 is a `hidden beast` number, since 222 + 416 + 28 = 666.

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 (22241623) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4350 + ... + 7962.

Almost surely, 222241628 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 22241628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30610580).

22241628 is an abundant number, since it is smaller than the sum of its proper divisors (38979532).

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

22241628 is a wasteful number, since it uses less digits than its factorization.

22241628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3648 (or 3637 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 22241628 is about 4716.1030523092. The cubic root of 22241628 is about 281.2260352914.

The spelling of 22241628 in words is "twenty-two million, two hundred forty-one thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2052 3078 3613 6156 7226 10839 14452 21678 32517 43356 65034 68647 97551 130068 137294 195102 205941 274588 292653 390204 411882 585306 617823 823764 1170612 1235646 1853469 2471292 3706938 5560407 7413876 11120814 22241628