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22116064 = 2523151199
BaseRepresentation
bin101010001011…
…1011011100000
31112121121112111
41110113123200
521130203224
62110005104
7355661215
oct124273340
945547474
1022116064
1111536143
1274a6794
134774639
142d19b0c
151e1cd94
hex15176e0

22116064 has 48 divisors (see below), whose sum is σ = 45964800. Its totient is φ = 10454400.

The previous prime is 22116049. The next prime is 22116079. The reversal of 22116064 is 46061122.

It is an interprime number because it is at equal distance from previous prime (22116049) and next prime (22116079).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111037 + ... + 111235.

It is an arithmetic number, because the mean of its divisors is an integer number (957600).

Almost surely, 222116064 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 22116064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22982400).

22116064 is an abundant number, since it is smaller than the sum of its proper divisors (23848736).

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

22116064 is a wasteful number, since it uses less digits than its factorization.

22116064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 22116064 is about 4702.7719485427. The cubic root of 22116064 is about 280.6958204235.

Adding to 22116064 its reverse (46061122), we get a palindrome (68177186).

The spelling of 22116064 in words is "twenty-two million, one hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 8 16 23 32 46 92 151 184 199 302 368 398 604 736 796 1208 1592 2416 3184 3473 4577 4832 6368 6946 9154 13892 18308 27784 30049 36616 55568 60098 73232 111136 120196 146464 240392 480784 691127 961568 1382254 2764508 5529016 11058032 22116064