221914242 has 60 divisors (see below), whose sum is σ = 546614838. Its totient is φ = 67240800.

The previous prime is 221914237. The next prime is 221914249. The reversal of 221914242 is 242419122.

It can be written as a sum of positive squares in only one way, i.e., 217592001 + 4322241 = 14751^2 + 2079^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (221914249) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 13942 + ... + 25262.

Almost surely, 2^221914242 is an apocalyptic number.

221914242 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 221914242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273307419).

221914242 is an abundant number, since it is smaller than the sum of its proper divisors (324700596).

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

221914242 is a wasteful number, since it uses less digits than its factorization.

221914242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11357 (or 11337 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 221914242 is about 14896.7862977221. The cubic root of 221914242 is about 605.4269163079.

It can be divided in two parts, 2219 and 14242, that added together give a palindrome (16461).

The spelling of 221914242 in words is "two hundred twenty-one million, nine hundred fourteen thousand, two hundred forty-two".