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22205440 = 21054337
BaseRepresentation
bin101010010110…
…1010000000000
31112210011010201
41110231100000
521141033230
62111534544
7356512615
oct124552000
945704121
1022205440
1111597304
12752a454
1347a621a
142d4050c
151e395ca
hex152d400

22205440 has 44 divisors (see below), whose sum is σ = 53279316. Its totient is φ = 8880128.

The previous prime is 22205437. The next prime is 22205441. The reversal of 22205440 is 4450222.

It can be written as a sum of positive squares in 2 ways, for example, as 2985984 + 19219456 = 1728^2 + 4384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22205441) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2952 + ... + 7288.

Almost surely, 222205440 is an apocalyptic number.

22205440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26639658).

22205440 is an abundant number, since it is smaller than the sum of its proper divisors (31073876).

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

22205440 is an equidigital number, since it uses as much as digits as its factorization.

22205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4362 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 22205440 is about 4712.2648482444. The cubic root of 22205440 is about 281.0734305717.

Adding to 22205440 its reverse (4450222), we get a palindrome (26655662).

The spelling of 22205440 in words is "twenty-two million, two hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 4337 5120 8674 17348 21685 34696 43370 69392 86740 138784 173480 277568 346960 555136 693920 1110272 1387840 2220544 2775680 4441088 5551360 11102720 22205440