221263380 has 192 divisors, whose sum is σ = 759601920. Its totient is φ = 53125632.

The previous prime is 221263369. The next prime is 221263387. The reversal of 221263380 is 83362122.

221263380 is a `hidden beast` number, since 2 + 21 + 2 + 633 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221263387) 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 63 ways as a sum of consecutive naturals, for example, 301494 + ... + 302226.

It is an arithmetic number, because the mean of its divisors is an integer number (3956260).

Almost surely, 2^221263380 is an apocalyptic number.

221263380 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 221263380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379800960).

221263380 is an abundant number, since it is smaller than the sum of its proper divisors (538338540).

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

221263380 is a wasteful number, since it uses less digits than its factorization.

221263380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 221263380 is about 14874.9245376237. The cubic root of 221263380 is about 604.8344423255.

The spelling of 221263380 in words is "two hundred twenty-one million, two hundred sixty-three thousand, three hundred eighty".