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22542168 = 23311103829
BaseRepresentation
bin101010111111…
…1011101011000
31120102021001010
41111333131120
521232322133
62123053520
7362414415
oct125773530
946367033
1022542168
11117a72a0
1276712a0
13489357c
142dcb10c
151ea4263
hex157f758

22542168 has 64 divisors (see below), whose sum is σ = 62150400. Its totient is φ = 6756480.

The previous prime is 22542137. The next prime is 22542173. The reversal of 22542168 is 86124522.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26778 + ... + 27606.

It is an arithmetic number, because the mean of its divisors is an integer number (971100).

Almost surely, 222542168 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 22542168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31075200).

22542168 is an abundant number, since it is smaller than the sum of its proper divisors (39608232).

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

22542168 is a wasteful number, since it uses less digits than its factorization.

22542168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 948 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 22542168 is about 4747.8593070983. The cubic root of 22542168 is about 282.4870613021.

The spelling of 22542168 in words is "twenty-two million, five hundred forty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 103 132 206 264 309 412 618 824 829 1133 1236 1658 2266 2472 2487 3316 3399 4532 4974 6632 6798 9064 9119 9948 13596 18238 19896 27192 27357 36476 54714 72952 85387 109428 170774 218856 256161 341548 512322 683096 939257 1024644 1878514 2049288 2817771 3757028 5635542 7514056 11271084 22542168