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22460464 = 2413831301
BaseRepresentation
bin101010110101…
…1100000110000
31120021002222001
41111223200300
521222213324
62121223344
7361624255
oct125534060
946232861
1022460464
1111750974
127631b54
134865320
142da942c
151e89e44
hex156b830

22460464 has 40 divisors (see below), whose sum is σ = 47465712. Its totient is φ = 10233600.

The previous prime is 22460453. The next prime is 22460467. The reversal of 22460464 is 46406422.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (22460467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16614 + ... + 17914.

Almost surely, 222460464 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 22460464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23732856).

22460464 is an abundant number, since it is smaller than the sum of its proper divisors (25005248).

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

22460464 is a wasteful number, since it uses less digits than its factorization.

22460464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 22460464 is about 4739.2471976043. The cubic root of 22460464 is about 282.1453570497.

Adding to 22460464 its reverse (46406422), we get a palindrome (68866886).

The spelling of 22460464 in words is "twenty-two million, four hundred sixty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 83 104 166 208 332 664 1079 1301 1328 2158 2602 4316 5204 8632 10408 16913 17264 20816 33826 67652 107983 135304 215966 270608 431932 863864 1403779 1727728 2807558 5615116 11230232 22460464