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22076064 = 253517167
BaseRepresentation
bin101010000110…
…1101010100000
31112112120200000
41110031222200
521122413224
62105100000
7355433463
oct124155240
945476600
1022076064
111150908a
127487600
13475c37a
142d092da
151e110c9
hex150daa0

22076064 has 144 divisors (see below), whose sum is σ = 69346368. Its totient is φ = 6884352.

The previous prime is 22076059. The next prime is 22076077. The reversal of 22076064 is 46067022.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132109 + ... + 132275.

It is an arithmetic number, because the mean of its divisors is an integer number (481572).

Almost surely, 222076064 is an apocalyptic number.

22076064 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 22076064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34673184).

22076064 is an abundant number, since it is smaller than the sum of its proper divisors (47270304).

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

22076064 is a wasteful number, since it uses less digits than its factorization.

22076064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 22076064 is about 4698.5172129088. The cubic root of 22076064 is about 280.5264923933.

The spelling of 22076064 in words is "twenty-two million, seventy-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 167 204 216 243 272 288 306 324 334 408 432 459 486 501 544 612 648 668 816 864 918 972 1002 1224 1296 1336 1377 1503 1632 1836 1944 2004 2448 2592 2672 2754 2839 3006 3672 3888 4008 4131 4509 4896 5344 5508 5678 6012 7344 7776 8016 8262 8517 9018 11016 11356 12024 13527 14688 16032 16524 17034 18036 22032 22712 24048 25551 27054 33048 34068 36072 40581 44064 45424 48096 51102 54108 66096 68136 72144 76653 81162 90848 102204 108216 132192 136272 144288 153306 162324 204408 216432 229959 272544 306612 324648 408816 432864 459918 613224 649296 689877 817632 919836 1226448 1298592 1379754 1839672 2452896 2759508 3679344 5519016 7358688 11038032 22076064