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22320522 = 23137
BaseRepresentation
bin101010100100…
…1010110001010
31120000000000000
41111021112022
521203224042
62114223430
7360502260
oct125112612
946000000
1022320522
1111665814
127584b76
134816713
142d70430
151e5d74c
hex154958a

22320522 has 56 divisors (see below), whose sum is σ = 57395616. Its totient is φ = 6377292.

The previous prime is 22320503. The next prime is 22320559. The reversal of 22320522 is 22502322.

It is a super-3 number, since 3×223205223 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22320495 and 22320504.

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 27 ways as a sum of consecutive naturals, for example, 3188643 + ... + 3188649.

Almost surely, 222320522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22320522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28697808).

22320522 is an abundant number, since it is smaller than the sum of its proper divisors (35075094).

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

22320522 is an frugal number, since it uses more digits than its factorization.

22320522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 22320522 is about 4724.4599691393. The cubic root of 22320522 is about 281.5581582358.

Adding to 22320522 its reverse (22502322), we get a palindrome (44822844).

The spelling of 22320522 in words is "twenty-two million, three hundred twenty thousand, five hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 729 1134 1458 1701 2187 3402 4374 5103 6561 10206 13122 15309 19683 30618 39366 45927 59049 91854 118098 137781 177147 275562 354294 413343 531441 826686 1062882 1240029 1594323 2480058 3188646 3720087 7440174 11160261 22320522