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22040576 = 2125381
BaseRepresentation
bin101010000010…
…1000000000000
31112110202222122
41110011000000
521120244301
62104223412
7355225145
oct124050000
945422878
1022040576
1111494458
12746ab68
13474917c
142cda3cc
151e0581b
hex1505000

22040576 has 26 divisors (see below), whose sum is σ = 44083962. Its totient is φ = 11018240.

The previous prime is 22040573. The next prime is 22040593. The reversal of 22040576 is 67504022.

It can be written as a sum of positive squares in only one way, i.e., 17305600 + 4734976 = 4160^2 + 2176^2 .

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22040573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1406 + ... + 6786.

It is an arithmetic number, because the mean of its divisors is an integer number (1695537).

Almost surely, 222040576 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 22040576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22041981).

22040576 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

22040576 is an frugal number, since it uses more digits than its factorization.

22040576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5405 (or 5383 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 22040576 is about 4694.7391833839. The cubic root of 22040576 is about 280.3760932485.

Adding to 22040576 its reverse (67504022), we get a palindrome (89544598).

The spelling of 22040576 in words is "twenty-two million, forty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 5381 10762 21524 43048 86096 172192 344384 688768 1377536 2755072 5510144 11020288 22040576