59222016 has 288 divisors, whose sum is σ = 214643520. Its totient is φ = 15925248.

The previous prime is 59222011. The next prime is 59222027. The reversal of 59222016 is 61022295.

It is a tau number, because it is divible by the number of its divisors (288).

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 (59222011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3483640 + ... + 3483656.

It is an arithmetic number, because the mean of its divisors is an integer number (745290).

Almost surely, 2^59222016 is an apocalyptic number.

59222016 is a gapful number since it is divisible by the number (56) 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 59222016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107321760).

59222016 is an abundant number, since it is smaller than the sum of its proper divisors (155421504).

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

59222016 is an equidigital number, since it uses as much as digits as its factorization.

59222016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 59222016 is about 7695.5841883511. The cubic root of 59222016 is about 389.7873396824.

The spelling of 59222016 in words is "fifty-nine million, two hundred twenty-two thousand, sixteen".