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22162968 = 23321719953
BaseRepresentation
bin101010010001…
…0111000011000
31112200222212200
41110202320120
521133203333
62111010200
7356245032
oct124427030
945628780
1022162968
1111568403
127509960
13478caa9
142d2cc52
151e2bc13
hex1522e18

22162968 has 96 divisors (see below), whose sum is σ = 66970800. Its totient is φ = 6580224.

The previous prime is 22162939. The next prime is 22162969. The reversal of 22162968 is 86926122.

It is a happy number.

22162968 is a `hidden beast` number, since 2 + 21 + 629 + 6 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22162969) 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, 22780 + ... + 23732.

Almost surely, 222162968 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 22162968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33485400).

22162968 is an abundant number, since it is smaller than the sum of its proper divisors (44807832).

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

22162968 is a wasteful number, since it uses less digits than its factorization.

22162968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 994 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 22162968 is about 4707.7561534132. The cubic root of 22162968 is about 280.8941146039.

It can be divided in two parts, 2216 and 2968, that added together give a square (5184 = 722).

The spelling of 22162968 in words is "twenty-two million, one hundred sixty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 34 36 38 51 57 68 72 76 102 114 136 152 153 171 204 228 306 323 342 408 456 612 646 684 953 969 1224 1292 1368 1906 1938 2584 2859 2907 3812 3876 5718 5814 7624 7752 8577 11436 11628 16201 17154 18107 22872 23256 32402 34308 36214 48603 54321 64804 68616 72428 97206 108642 129608 144856 145809 162963 194412 217284 291618 307819 325926 388824 434568 583236 615638 651852 923457 1166472 1231276 1303704 1846914 2462552 2770371 3693828 5540742 7387656 11081484 22162968