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222828828222 = 237111310123637
BaseRepresentation
bin1100111110000110100…
…0100001011000111110
3210022011022202022112210
43033201220201120332
512122323140000342
6250211031041250
722045622534340
oct3174150413076
9708138668483
10222828828222
1186557078790
1237228b10226
1318021aa8860
14aadbd73290
155be272179c
hex33e1a2163e

222828828222 has 192 divisors, whose sum is σ = 604514760192. Its totient is φ = 52881984000.

The previous prime is 222828828217. The next prime is 222828828223.

222828828222 is nontrivially palindromic in base 10.

222828828222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222828828223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61265388 + ... + 61269024.

It is an arithmetic number, because the mean of its divisors is an integer number (3148514376).

Almost surely, 2222828828222 is an apocalyptic number.

222828828222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 222828828222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302257380096).

222828828222 is an abundant number, since it is smaller than the sum of its proper divisors (381685931970).

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

222828828222 is a wasteful number, since it uses less digits than its factorization.

222828828222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3875 (or 3774 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 48.

The spelling of 222828828222 in words is "two hundred twenty-two billion, eight hundred twenty-eight million, eight hundred twenty-eight thousand, two hundred twenty-two".