Search a number
-
+
222122102220 = 2232537791572689
BaseRepresentation
bin1100111011011110000…
…0100100110111001100
3210020100001220220201200
43032313200210313030
512114401224232340
6250012543305500
722022251500564
oct3166740446714
9706301826650
10222122102220
1186224155007
12370702ab290
1317c3b552ba5
14aa72167da4
155ba0671330
hex33b7824dcc

222122102220 has 288 divisors, whose sum is σ = 705465196800. Its totient is φ = 56518705152.

The previous prime is 222122102039. The next prime is 222122102227. The reversal of 222122102220 is 22201221222.

222122102220 is a `hidden beast` number, since 2 + 221 + 221 + 0 + 2 + 220 = 666.

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 = 222122102193 and 222122102202.

It is not an unprimeable number, because it can be changed into a prime (222122102227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82602636 + ... + 82605324.

Almost surely, 2222122102220 is an apocalyptic number.

222122102220 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 222122102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352732598400).

222122102220 is an abundant number, since it is smaller than the sum of its proper divisors (483343094580).

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

222122102220 is a wasteful number, since it uses less digits than its factorization.

222122102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977 (or 2972 counting only the distinct ones).

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

Adding to 222122102220 its reverse (22201221222), we get a palindrome (244323323442).

The spelling of 222122102220 in words is "two hundred twenty-two billion, one hundred twenty-two million, one hundred two thousand, two hundred twenty".