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22275032 = 23131743293
BaseRepresentation
bin101010011111…
…0001111011000
31112220200121012
41110332033120
521200300112
62113233052
7360222533
oct124761730
945820535
1022275032
111163461a
127562788
1347cbac0
142d5ba1a
151e50022
hex153e3d8

22275032 has 64 divisors (see below), whose sum is σ = 48898080. Its totient is φ = 9418752.

The previous prime is 22275031. The next prime is 22275047. The reversal of 22275032 is 23057222.

It is a junction number, because it is equal to n+sod(n) for n = 22274989 and 22275007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22275031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75878 + ... + 76170.

Almost surely, 222275032 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 22275032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24449040).

22275032 is an abundant number, since it is smaller than the sum of its proper divisors (26623048).

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

22275032 is a wasteful number, since it uses less digits than its factorization.

22275032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 22275032 is about 4719.6432068537. The cubic root of 22275032 is about 281.3667530409.

The spelling of 22275032 in words is "twenty-two million, two hundred seventy-five thousand, thirty-two".

Divisors: 1 2 4 8 13 17 26 34 43 52 68 86 104 136 172 221 293 344 442 559 586 731 884 1118 1172 1462 1768 2236 2344 2924 3809 4472 4981 5848 7618 9503 9962 12599 15236 19006 19924 25198 30472 38012 39848 50396 64753 76024 100792 129506 163787 214183 259012 327574 428366 518024 655148 856732 1310296 1713464 2784379 5568758 11137516 22275032