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221222122 = 21121753773
BaseRepresentation
bin11010010111110…
…01010011101010
3120102021020200221
431023321103222
5423113101442
633541320254
75324233312
oct1513712352
9512236627
10221222122
11103968500
126210608a
1336aa7a84
1421548442
151464c467
hexd2f94ea

221222122 has 24 divisors (see below), whose sum is σ = 386204868. Its totient is φ = 94638720.

The previous prime is 221222087. The next prime is 221222123.

221222122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 207965241 + 13256881 = 14421^2 + 3641^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 221222096 and 221222105.

It is not an unprimeable number, because it can be changed into a prime (221222123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22773 + ... + 31000.

Almost surely, 2221222122 is an apocalyptic number.

221222122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221222122 is a deficient number, since it is larger than the sum of its proper divisors (164982746).

221222122 is a wasteful number, since it uses less digits than its factorization.

221222122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53814 (or 53803 counting only the distinct ones).

The product of its digits is 128, while the sum is 16.

The square root of 221222122 is about 14873.5376424037. The cubic root of 221222122 is about 604.7968463910.

The spelling of 221222122 in words is "two hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 11 17 22 34 121 187 242 374 2057 4114 53773 107546 591503 914141 1183006 1828282 6506533 10055551 13013066 20111102 110611061 221222122