Search a number
-
+
222200020022220 = 223251234444555679
BaseRepresentation
bin110010100001011011111001…
…010000110011001111001100
31002010202010002102220100000100
4302201123321100303033030
5213111011120111202340
62104325140251531100
764542264431102352
oct6241337120631714
91063663072810010
10222200020022220
1164888554618359
1220b07a29159a90
1396ca4ab3166c6
143cc27773457d2
151aa4debece830
hexca16f94333cc

222200020022220 has 36 divisors (see below), whose sum is σ = 674006727401280. Its totient is φ = 59253338672544.

The previous prime is 222200020022159. The next prime is 222200020022263. The reversal of 222200020022220 is 22220020002222.

222200020022220 is a `hidden beast` number, since 2 + 2 + 220 + 0 + 0 + 200 + 22 + 220 = 666.

222200020022220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 222200020022193 and 222200020022202.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 617222277660 + ... + 617222278019.

It is an arithmetic number, because the mean of its divisors is an integer number (18722409094480).

Almost surely, 2222200020022220 is an apocalyptic number.

222200020022220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222200020022220 is an abundant number, since it is smaller than the sum of its proper divisors (451806707379060).

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

222200020022220 is a wasteful number, since it uses less digits than its factorization.

222200020022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234444555694 (or 1234444555689 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 222200020022220 its reverse (22220020002222), we get a palindrome (244420040024442).

The spelling of 222200020022220 in words is "two hundred twenty-two trillion, two hundred billion, twenty million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1234444555679 2468889111358 3703333667037 4937778222716 6172222778395 7406667334074 11110001001111 12344445556790 14813334668148 18516668335185 22220002002222 24688891113580 37033336670370 44440004004444 55550005005555 74066673340740 111100010011110 222200020022220