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22252132 = 22723109317
BaseRepresentation
bin101010011100…
…0101001100100
31112212112012001
41110320221210
521144032012
62112535044
7360066010
oct124705144
945775161
1022252132
11116193a1
127551484
1347c1556
142d53540
151e48357
hex1538a64

22252132 has 48 divisors (see below), whose sum is σ = 47013120. Its totient is φ = 9009792.

The previous prime is 22252127. The next prime is 22252147. The reversal of 22252132 is 23125222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70038 + ... + 70354.

It is an arithmetic number, because the mean of its divisors is an integer number (979440).

Almost surely, 222252132 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 22252132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23506560).

22252132 is an abundant number, since it is smaller than the sum of its proper divisors (24760988).

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

22252132 is a wasteful number, since it uses less digits than its factorization.

22252132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 458 counting only the distinct ones).

The product of its digits is 480, while the sum is 19.

The square root of 22252132 is about 4717.2165521629. The cubic root of 22252132 is about 281.2702996377.

Adding to 22252132 its reverse (23125222), we get a palindrome (45377354).

The spelling of 22252132 in words is "twenty-two million, two hundred fifty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 46 92 109 161 218 317 322 436 634 644 763 1268 1526 2219 2507 3052 4438 5014 7291 8876 10028 14582 17549 29164 34553 35098 51037 69106 70196 102074 138212 204148 241871 483742 794719 967484 1589438 3178876 5563033 11126066 22252132