221307152 has 40 divisors (see below), whose sum is σ = 471493632. Its totient is φ = 99792000.

The previous prime is 221307143. The next prime is 221307181. The reversal of 221307152 is 251703122.

It is a happy number.

It is a super-2 number, since 2×221307152² = 97953711052702208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17402 + ... + 27302.

Almost surely, 2^221307152 is an apocalyptic number.

221307152 is a gapful number since it is divisible by the number (22) 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 221307152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235746816).

221307152 is an abundant number, since it is smaller than the sum of its proper divisors (250186480).

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

221307152 is a wasteful number, since it uses less digits than its factorization.

221307152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10047 (or 10041 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 221307152 is about 14876.3958000586. The cubic root of 221307152 is about 604.8743240080.

The spelling of 221307152 in words is "two hundred twenty-one million, three hundred seven thousand, one hundred fifty-two".