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22606064 = 2413251433
BaseRepresentation
bin101011000111…
…1000011110000
31120112111200122
41112033003300
521241343224
62124305412
7363101615
oct126170360
946474618
1022606064
11118402a8
1276a2268
1348b6690
14300650c
151eb815e
hex158f0f0

22606064 has 40 divisors (see below), whose sum is σ = 47465712. Its totient is φ = 10368000.

The previous prime is 22606063. The next prime is 22606081. The reversal of 22606064 is 46060622.

It is a super-2 number, since 2×226060642 = 1022068259144192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22606061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51992 + ... + 52424.

Almost surely, 222606064 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 22606064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23732856).

22606064 is an abundant number, since it is smaller than the sum of its proper divisors (24859648).

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

22606064 is a wasteful number, since it uses less digits than its factorization.

22606064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 22606064 is about 4754.5834728186. The cubic root of 22606064 is about 282.7537136485.

Adding to 22606064 its reverse (46060622), we get a palindrome (68666686).

The spelling of 22606064 in words is "twenty-two million, six hundred six thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 251 433 502 866 1004 1732 2008 3263 3464 4016 5629 6526 6928 11258 13052 22516 26104 45032 52208 90064 108683 217366 434732 869464 1412879 1738928 2825758 5651516 11303032 22606064