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22242064 = 2413611753
BaseRepresentation
bin101010011011…
…0001100010000
31112212000101011
41110312030100
521143221224
62112420304
7360024445
oct124661420
945760334
1022242064
1111611879
127547694
1347b9ab0
142d4d9cc
151e45394
hex1536310

22242064 has 40 divisors (see below), whose sum is σ = 47196632. Its totient is φ = 10091520.

The previous prime is 22242061. The next prime is 22242071. The reversal of 22242064 is 46024222.

It can be written as a sum of positive squares in 4 ways, for example, as 3579664 + 18662400 = 1892^2 + 4320^2 .

It is not an unprimeable number, because it can be changed into a prime (22242061) 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, 11812 + ... + 13564.

Almost surely, 222242064 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 22242064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23598316).

22242064 is an abundant number, since it is smaller than the sum of its proper divisors (24954568).

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

22242064 is a wasteful number, since it uses less digits than its factorization.

22242064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 22242064 is about 4716.1492766875. The cubic root of 22242064 is about 281.2278728930.

Adding to 22242064 its reverse (46024222), we get a palindrome (68266286).

The spelling of 22242064 in words is "twenty-two million, two hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 52 61 104 122 208 244 488 793 976 1586 1753 3172 3506 6344 7012 12688 14024 22789 28048 45578 91156 106933 182312 213866 364624 427732 855464 1390129 1710928 2780258 5560516 11121032 22242064