221237280264 has 512 divisors, whose sum is σ = 763080192000. Its totient is φ = 52672757760.

The previous prime is 221237280259. The next prime is 221237280269. The reversal of 221237280264 is 462082732122.

It is an interprime number because it is at equal distance from previous prime (221237280259) and next prime (221237280269).

It is a super-2 number, since 2×221237280264² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (221237280269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 191879112 + ... + 191880264.

It is an arithmetic number, because the mean of its divisors is an integer number (1490391000).

Almost surely, 2^221237280264 is an apocalyptic number.

221237280264 is a gapful number since it is divisible by the number (24) 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 221237280264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381540096000).

221237280264 is an abundant number, since it is smaller than the sum of its proper divisors (541842911736).

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

221237280264 is a wasteful number, since it uses less digits than its factorization.

221237280264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

It can be divided in two parts, 221237 and 280264, that added together give a triangular number (501501 = T₁₀₀₁).

The spelling of 221237280264 in words is "two hundred twenty-one billion, two hundred thirty-seven million, two hundred eighty thousand, two hundred sixty-four".