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22268412 = 22334147107
BaseRepresentation
bin101010011110…
…0100111111100
31112220100112000
41110330213330
521200042122
62113142300
7360164325
oct124744774
945810460
1022268412
111162a651
12755a990
1347c8a9a
142d5944c
151e4d0ac
hex153c9fc

22268412 has 96 divisors (see below), whose sum is σ = 60963840. Its totient is φ = 7021440.

The previous prime is 22268383. The next prime is 22268443. The reversal of 22268412 is 21486222.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208063 + ... + 208169.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 222268412 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 22268412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30481920).

22268412 is an abundant number, since it is smaller than the sum of its proper divisors (38695428).

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

22268412 is a wasteful number, since it uses less digits than its factorization.

22268412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 200 counting only the distinct ones).

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

The square root of 22268412 is about 4718.9418305379. The cubic root of 22268412 is about 281.3388768003.

The spelling of 22268412 in words is "twenty-two million, two hundred sixty-eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 47 54 82 94 107 108 123 141 164 188 214 246 282 321 369 423 428 492 564 642 738 846 963 1107 1269 1284 1476 1692 1926 1927 2214 2538 2889 3852 3854 4387 4428 5029 5076 5778 5781 7708 8774 10058 11556 11562 13161 15087 17343 17548 20116 23124 26322 30174 34686 39483 45261 52029 52644 60348 69372 78966 90522 104058 118449 135783 157932 181044 206189 208116 236898 271566 412378 473796 543132 618567 824756 1237134 1855701 2474268 3711402 5567103 7422804 11134206 22268412