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22142268 = 2233613361
BaseRepresentation
bin101010001110…
…1110100111100
31112122221111000
41110131310330
521132023033
62110330300
7356130501
oct124356474
945587430
1022142268
11115538a5
1274b9990
134783545
142d254a8
151e25a13
hex151dd3c

22142268 has 48 divisors (see below), whose sum is σ = 58364320. Its totient is φ = 7257600.

The previous prime is 22142257. The next prime is 22142293. The reversal of 22142268 is 86224122.

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 15 ways as a sum of consecutive naturals, for example, 4908 + ... + 8268.

Almost surely, 222142268 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 22142268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29182160).

22142268 is an abundant number, since it is smaller than the sum of its proper divisors (36222052).

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

22142268 is a wasteful number, since it uses less digits than its factorization.

22142268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3435 (or 3427 counting only the distinct ones).

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

The square root of 22142268 is about 4705.5571402332. The cubic root of 22142268 is about 280.8066365588.

The spelling of 22142268 in words is "twenty-two million, one hundred forty-two thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 549 732 1098 1647 2196 3294 3361 6588 6722 10083 13444 20166 30249 40332 60498 90747 120996 181494 205021 362988 410042 615063 820084 1230126 1845189 2460252 3690378 5535567 7380756 11071134 22142268