Search a number
-
+
22095072 = 2533107239
BaseRepresentation
bin101010001001…
…0010011100000
31112120112202000
41110102103200
521124020242
62105324000
7355543056
oct124222340
945515660
1022095072
111152139a
127496600
134767c0c
142d121d6
151e16a4c
hex15124e0

22095072 has 96 divisors (see below), whose sum is σ = 65318400. Its totient is φ = 7265664.

The previous prime is 22095067. The next prime is 22095083. The reversal of 22095072 is 27059022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92329 + ... + 92567.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 222095072 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 22095072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32659200).

22095072 is an abundant number, since it is smaller than the sum of its proper divisors (43223328).

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

22095072 is a wasteful number, since it uses less digits than its factorization.

22095072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 22095072 is about 4700.5395434992. The cubic root of 22095072 is about 280.6069825553.

The spelling of 22095072 in words is "twenty-two million, ninety-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 107 108 144 214 216 239 288 321 428 432 478 642 717 856 864 956 963 1284 1434 1712 1912 1926 2151 2568 2868 2889 3424 3824 3852 4302 5136 5736 5778 6453 7648 7704 8604 10272 11472 11556 12906 15408 17208 22944 23112 25573 25812 30816 34416 46224 51146 51624 68832 76719 92448 102292 103248 153438 204584 206496 230157 306876 409168 460314 613752 690471 818336 920628 1227504 1380942 1841256 2455008 2761884 3682512 5523768 7365024 11047536 22095072