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22408020 = 22325124489
BaseRepresentation
bin101010101111…
…0101101010100
31120011110000200
41111132231110
521214024040
62120140500
7361315335
oct125365524
946143020
1022408020
1111715528
127607730
1348474ab
142d9428c
151e79630
hex155eb54

22408020 has 36 divisors (see below), whose sum is σ = 67971540. Its totient is φ = 5975424.

The previous prime is 22408019. The next prime is 22408021. The reversal of 22408020 is 2080422.

It is an interprime number because it is at equal distance from previous prime (22408019) and next prime (22408021).

It can be written as a sum of positive squares in 2 ways, for example, as 4717584 + 17690436 = 2172^2 + 4206^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22407984 and 22408002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22408021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62065 + ... + 62424.

Almost surely, 222408020 is an apocalyptic number.

22408020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22408020 is an abundant number, since it is smaller than the sum of its proper divisors (45563520).

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

22408020 is a wasteful number, since it uses less digits than its factorization.

22408020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124504 (or 124499 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 22408020 is about 4733.7110177957. The cubic root of 22408020 is about 281.9255877301.

Adding to 22408020 its reverse (2080422), we get a palindrome (24488442).

The spelling of 22408020 in words is "twenty-two million, four hundred eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 124489 248978 373467 497956 622445 746934 1120401 1244890 1493868 1867335 2240802 2489780 3734670 4481604 5602005 7469340 11204010 22408020