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22675464 = 233474999
BaseRepresentation
bin101011010000…
…0000000001000
31120200000220000
41112200000020
521301103324
62130003000
7363511140
oct126400010
946600800
1022675464
1111888459
127716460
13490c146
143023920
151ecd9c9
hex15a0008

22675464 has 80 divisors (see below), whose sum is σ = 72600000. Its totient is φ = 6477408.

The previous prime is 22675463. The next prime is 22675489. The reversal of 22675464 is 46457622.

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

It is not an unprimeable number, because it can be changed into a prime (22675463) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2037 + ... + 7035.

It is an arithmetic number, because the mean of its divisors is an integer number (907500).

Almost surely, 222675464 is an apocalyptic number.

22675464 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 22675464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36300000).

22675464 is an abundant number, since it is smaller than the sum of its proper divisors (49924536).

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

22675464 is a wasteful number, since it uses less digits than its factorization.

22675464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024 (or 5011 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 22675464 is about 4761.8761008661. The cubic root of 22675464 is about 283.0427667849.

The spelling of 22675464 in words is "twenty-two million, six hundred seventy-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 4999 9998 14997 19996 29994 34993 39992 44991 59988 69986 89982 104979 119976 134973 139972 179964 209958 269946 279944 314937 359928 404919 419916 539892 629874 809838 839832 944811 1079784 1259748 1619676 1889622 2519496 2834433 3239352 3779244 5668866 7558488 11337732 22675464