Search a number
-
+
22955724 = 22351119113
BaseRepresentation
bin101011110010…
…0011011001100
31121012021100000
41113210123030
521334040344
62140004300
7366056211
oct127443314
947167300
1022955724
1111a59a80
127830690
1349a988c
143097b08
152036a69
hex15e46cc

22955724 has 144 divisors (see below), whose sum is σ = 69713280. Its totient is φ = 6531840.

The previous prime is 22955689. The next prime is 22955747. The reversal of 22955724 is 42755922.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 203092 + ... + 203204.

It is an arithmetic number, because the mean of its divisors is an integer number (484120).

Almost surely, 222955724 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 22955724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34856640).

22955724 is an abundant number, since it is smaller than the sum of its proper divisors (46757556).

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

22955724 is a wasteful number, since it uses less digits than its factorization.

22955724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 22955724 is about 4791.2132075290. The cubic root of 22955724 is about 284.2040951761.

The spelling of 22955724 in words is "twenty-two million, nine hundred fifty-five thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 81 99 108 113 114 132 162 171 198 209 226 228 243 297 324 339 342 396 418 452 486 513 594 627 678 684 836 891 972 1017 1026 1188 1243 1254 1356 1539 1782 1881 2034 2052 2147 2486 2508 2673 3051 3078 3564 3729 3762 4068 4294 4617 4972 5346 5643 6102 6156 6441 7458 7524 8588 9153 9234 10692 11187 11286 12204 12882 14916 16929 18306 18468 19323 22374 22572 23617 25764 27459 33561 33858 36612 38646 44748 47234 50787 54918 57969 67122 67716 70851 77292 94468 100683 101574 109836 115938 134244 141702 173907 201366 203148 212553 231876 283404 302049 347814 402732 425106 521721 604098 637659 695628 850212 1043442 1208196 1275318 1912977 2086884 2550636 3825954 5738931 7651908 11477862 22955724