221122 has 24 divisors (see below), whose sum is σ = 398160. Its totient is φ = 91080.

The previous prime is 221101. The next prime is 221159.

221122 is nontrivially palindromic in base 10.

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

It is a zygodrome in base 10.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 221099 and 221108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9603 + ... + 9625.

It is an arithmetic number, because the mean of its divisors is an integer number (16590).

2^{221122} is an apocalyptic number.

221122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221122 is a deficient number, since it is larger than the sum of its proper divisors (177038).

221122 is a wasteful number, since it uses less digits than its factorization.

221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 55 counting only the distinct ones).

The product of its digits is 16, while the sum is 10.

The square root of 221122 is about 470.2361109060. The cubic root of 221122 is about 60.4705591793.

It can be divided in two parts, 221 and 122, that multiplied together give a palindrome (26962).

The spelling of 221122 in words is "two hundred twenty-one thousand, one hundred twenty-two", and thus it is an iban number.

Divisors: 1 2 11 19 22 23 38 46 209 253 418 437 506 529 874 1058 4807 5819 9614 10051 11638 20102 110561 221122

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