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22065056 = 2513293159
BaseRepresentation
bin101010000101…
…0111110100000
31112112000120022
41110022332200
521122040211
62104533012
7355356416
oct124127640
945460508
1022065056
1111500892
127481168
134757360
142d052b6
151e0cbdb
hex150afa0

22065056 has 96 divisors (see below), whose sum is σ = 50803200. Its totient is φ = 9354240.

The previous prime is 22065041. The next prime is 22065059. The reversal of 22065056 is 65056022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22065059) by changing a digit.

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, 373955 + ... + 374013.

It is an arithmetic number, because the mean of its divisors is an integer number (529200).

Almost surely, 222065056 is an apocalyptic number.

22065056 is a gapful number since it is divisible by the number (26) 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 22065056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25401600).

22065056 is an abundant number, since it is smaller than the sum of its proper divisors (28738144).

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

22065056 is a wasteful number, since it uses less digits than its factorization.

22065056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 22065056 is about 4697.3456334402. The cubic root of 22065056 is about 280.4798574339.

The spelling of 22065056 in words is "twenty-two million, sixty-five thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 29 31 32 52 58 59 62 104 116 118 124 208 232 236 248 377 403 416 464 472 496 754 767 806 899 928 944 992 1508 1534 1612 1711 1798 1829 1888 3016 3068 3224 3422 3596 3658 6032 6136 6448 6844 7192 7316 11687 12064 12272 12896 13688 14384 14632 22243 23374 23777 24544 27376 28768 29264 44486 46748 47554 53041 54752 58528 88972 93496 95108 106082 177944 186992 190216 212164 355888 373984 380432 424328 689533 711776 760864 848656 1379066 1697312 2758132 5516264 11032528 22065056