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22255110120400 = 245255637775301
BaseRepresentation
bin1010000111101101010111…
…11011101110001111010000
32220210120022220000020002121
411003312223323232033100
510404111431142323100
6115155504554224024
74454610242536633
oct503665373561720
986716286006077
1022255110120400
117100380523173
1225b5233425014
13c55856510971
1456d220087c1a
15288d8e5d751a
hex143dabeee3d0

22255110120400 has 30 divisors (see below), whose sum is σ = 53467902065222. Its totient is φ = 8902044048000.

The previous prime is 22255110120391. The next prime is 22255110120409. The reversal of 22255110120400 is 402101155222.

It is an interprime number because it is at equal distance from previous prime (22255110120391) and next prime (22255110120409).

It can be written as a sum of positive squares in 3 ways, for example, as 166689292176 + 22088420828224 = 408276^2 + 4699832^2 .

It is a super-2 number, since 2×222551101204002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22255110120409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27818887251 + ... + 27818888050.

Almost surely, 222255110120400 is an apocalyptic number.

22255110120400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22255110120400 is an abundant number, since it is smaller than the sum of its proper divisors (31212791944822).

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

22255110120400 is a wasteful number, since it uses less digits than its factorization.

22255110120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55637775319 (or 55637775308 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 22255110120400 its reverse (402101155222), we get a palindrome (22657211275622).

The spelling of 22255110120400 in words is "twenty-two trillion, two hundred fifty-five billion, one hundred ten million, one hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 55637775301 111275550602 222551101204 278188876505 445102202408 556377753010 890204404816 1112755506020 1390944382525 2225511012040 2781888765050 4451022024080 5563777530100 11127555060200 22255110120400