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22905040 = 245893217
BaseRepresentation
bin101011101100…
…0000011010000
31121002200210211
41113120003100
521330430130
62134533504
7365455354
oct127300320
947080724
1022905040
1111a24994
127807294
13498c7a2
143083464
152026a2a
hex15d80d0

22905040 has 40 divisors (see below), whose sum is σ = 53869320. Its totient is φ = 9056256.

The previous prime is 22905017. The next prime is 22905049. The reversal of 22905040 is 4050922.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3297856 + 19607184 = 1816^2 + 4428^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22905049) 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, 5512 + ... + 8728.

It is an arithmetic number, because the mean of its divisors is an integer number (1346733).

Almost surely, 222905040 is an apocalyptic number.

22905040 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 22905040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26934660).

22905040 is an abundant number, since it is smaller than the sum of its proper divisors (30964280).

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

22905040 is a wasteful number, since it uses less digits than its factorization.

22905040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 22905040 is about 4785.9210189889. The cubic root of 22905040 is about 283.9947760727.

Adding to 22905040 its reverse (4050922), we get a palindrome (26955962).

The spelling of 22905040 in words is "twenty-two million, nine hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3217 3560 6434 7120 12868 16085 25736 32170 51472 64340 128680 257360 286313 572626 1145252 1431565 2290504 2863130 4581008 5726260 11452520 22905040