Search a number
-
+
22772496 = 243677397
BaseRepresentation
bin101011011011…
…1101100010000
31120211221222210
41112313230100
521312204441
62132032120
7364364055
oct126675420
946757883
1022772496
111194434a
127762640
134944366
14304b02c
151eec616
hex15b7b10

22772496 has 80 divisors (see below), whose sum is σ = 61148864. Its totient is φ = 7299072.

The previous prime is 22772483. The next prime is 22772527. The reversal of 22772496 is 69427722.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234720 + ... + 234816.

Almost surely, 222772496 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 22772496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30574432).

22772496 is an abundant number, since it is smaller than the sum of its proper divisors (38376368).

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

22772496 is a wasteful number, since it uses less digits than its factorization.

22772496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 22772496 is about 4772.0536459684. The cubic root of 22772496 is about 283.4459209608.

The spelling of 22772496 in words is "twenty-two million, seven hundred seventy-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 73 97 134 146 194 201 219 268 291 292 388 402 438 536 582 584 776 804 876 1072 1164 1168 1552 1608 1752 2328 3216 3504 4656 4891 6499 7081 9782 12998 14162 14673 19497 19564 21243 25996 28324 29346 38994 39128 42486 51992 56648 58692 77988 78256 84972 103984 113296 117384 155976 169944 234768 311952 339888 474427 948854 1423281 1897708 2846562 3795416 5693124 7590832 11386248 22772496