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222201112210020 = 223251234450623389
BaseRepresentation
bin110010100001011100111010…
…010111001010101001100100
31002010202012220120001020000100
4302201130322113022221210
5213111020334211210040
62104325440505144100
764542333462410346
oct6241347227125144
91063665816036010
10222201112210020
1164888a650871a9
1220b08092a8b030
1396ca623690588
143cc283c40d296
151aa4e62d20b30
hexca173a5caa64

222201112210020 has 36 divisors (see below), whose sum is σ = 674010040370940. Its totient is φ = 59253629922624.

The previous prime is 222201112210001. The next prime is 222201112210027. The reversal of 222201112210020 is 20012211102222.

It is a happy number.

222201112210020 is a `hidden beast` number, since 222 + 201 + 1 + 1 + 221 + 0 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 170328966428196 + 51872145781824 = 13051014^2 + 7202232^2 .

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 = 222201112209975 and 222201112210002.

It is not an unprimeable number, because it can be changed into a prime (222201112210027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 617225311515 + ... + 617225311874.

It is an arithmetic number, because the mean of its divisors is an integer number (18722501121415).

Almost surely, 2222201112210020 is an apocalyptic number.

222201112210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222201112210020 is an abundant number, since it is smaller than the sum of its proper divisors (451808928160920).

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

222201112210020 is a wasteful number, since it uses less digits than its factorization.

222201112210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234450623404 (or 1234450623399 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222201112210020 its reverse (20012211102222), we get a palindrome (242213323312242).

The spelling of 222201112210020 in words is "two hundred twenty-two trillion, two hundred one billion, one hundred twelve million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1234450623389 2468901246778 3703351870167 4937802493556 6172253116945 7406703740334 11110055610501 12344506233890 14813407480668 18516759350835 22220111221002 24689012467780 37033518701670 44440222442004 55550278052505 74067037403340 111100556105010 222201112210020