Search a number
-
+
22896064 = 26192991
BaseRepresentation
bin101011101010…
…1110111000000
31121002020111101
41113111313000
521330133224
62134424144
7365420242
oct127256700
947066441
1022896064
1111a19174
127802054
134988689
143080092
152024044
hex15d5dc0

22896064 has 42 divisors (see below), whose sum is σ = 47999904. Its totient is φ = 10834560.

The previous prime is 22896061. The next prime is 22896067. The reversal of 22896064 is 46069822.

It is an interprime number because it is at equal distance from previous prime (22896061) and next prime (22896067).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22896061) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 22609 + ... + 23599.

Almost surely, 222896064 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 22896064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23999952).

22896064 is an abundant number, since it is smaller than the sum of its proper divisors (25103840).

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

22896064 is an equidigital number, since it uses as much as digits as its factorization.

22896064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 22896064 is about 4784.9831765639. The cubic root of 22896064 is about 283.9576740467.

The spelling of 22896064 in words is "twenty-two million, eight hundred ninety-six thousand, sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 991 1216 1444 1982 2888 3964 5776 7928 11552 15856 18829 23104 31712 37658 63424 75316 150632 301264 357751 602528 715502 1205056 1431004 2862008 5724016 11448032 22896064