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22320396 = 22327233851
BaseRepresentation
bin101010100100…
…1010100001100
31112222222211100
41111021110030
521203223041
62114223100
7360502020
oct125112414
945888740
1022320396
111166570a
127584a90
134816647
142d70380
151e5d6b6
hex154950c

22320396 has 72 divisors (see below), whose sum is σ = 67302144. Its totient is φ = 6098400.

The previous prime is 22320391. The next prime is 22320433. The reversal of 22320396 is 69302322.

It is a super-3 number, since 3×223203963 (a number of 23 digits) contains 333 as substring.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22320391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3871 + ... + 7721.

It is an arithmetic number, because the mean of its divisors is an integer number (934752).

Almost surely, 222320396 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 22320396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33651072).

22320396 is an abundant number, since it is smaller than the sum of its proper divisors (44981748).

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

22320396 is a wasteful number, since it uses less digits than its factorization.

22320396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3891 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 22320396 is about 4724.4466342631. The cubic root of 22320396 is about 281.5576284335.

The spelling of 22320396 in words is "twenty-two million, three hundred twenty thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 3851 5796 7702 11553 15404 23106 26957 34659 46212 53914 69318 80871 88573 107828 138636 161742 177146 242613 265719 323484 354292 485226 531438 620011 797157 970452 1062876 1240022 1594314 1860033 2480044 3188628 3720066 5580099 7440132 11160198 22320396