Search a number
-
+
22323072 = 27361953
BaseRepresentation
bin101010100100…
…1111110000000
31120000010111110
41111021332000
521203314242
62114243320
7360512562
oct125117600
946003443
1022323072
1111667722
127586540
134817925
142d71332
151e5e39c
hex1549f80

22323072 has 64 divisors (see below), whose sum is σ = 60330960. Its totient is φ = 7311360.

The previous prime is 22323071. The next prime is 22323097. The reversal of 22323072 is 27032322.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×223230723 (a number of 23 digits) contains 333 as substring.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22323071) 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 7 ways as a sum of consecutive naturals, for example, 22948 + ... + 23900.

Almost surely, 222323072 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 22323072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30165480).

22323072 is an abundant number, since it is smaller than the sum of its proper divisors (38007888).

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

22323072 is an equidigital number, since it uses as much as digits as its factorization.

22323072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 22323072 is about 4724.7298335460. The cubic root of 22323072 is about 281.5688799977.

Adding to 22323072 its reverse (27032322), we get a palindrome (49355394).

The spelling of 22323072 in words is "twenty-two million, three hundred twenty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 366 384 488 732 953 976 1464 1906 1952 2859 2928 3812 3904 5718 5856 7624 7808 11436 11712 15248 22872 23424 30496 45744 58133 60992 91488 116266 121984 174399 182976 232532 348798 365952 465064 697596 930128 1395192 1860256 2790384 3720512 5580768 7441024 11161536 22323072