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22122864 = 2432672293
BaseRepresentation
bin101010001100…
…1000101110000
31112121221212100
41110121011300
521130412424
62110100400
7356020101
oct124310560
945557770
1022122864
1111540265
1274aa700
13477776a
142d1c3a8
151e1edc9
hex1519170

22122864 has 60 divisors (see below), whose sum is σ = 62864776. Its totient is φ = 7261056.

The previous prime is 22122857. The next prime is 22122883. The reversal of 22122864 is 46822122.

It is a happy number.

It is a super-2 number, since 2×221228642 = 978842223124992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8502 + ... + 10794.

Almost surely, 222122864 is an apocalyptic number.

22122864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22122864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31432388).

22122864 is an abundant number, since it is smaller than the sum of its proper divisors (40741912).

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

22122864 is a wasteful number, since it uses less digits than its factorization.

22122864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2365 counting only the distinct ones).

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

The square root of 22122864 is about 4703.4948708381. The cubic root of 22122864 is about 280.7245858794.

Adding to 22122864 its reverse (46822122), we get a palindrome (68944986).

The spelling of 22122864 in words is "twenty-two million, one hundred twenty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2293 2412 3216 4586 4824 6879 9172 9648 13758 18344 20637 27516 36688 41274 55032 82548 110064 153631 165096 307262 330192 460893 614524 921786 1229048 1382679 1843572 2458096 2765358 3687144 5530716 7374288 11061432 22122864