83098224 has 240 divisors, whose sum is σ = 276232320. Its totient is φ = 23950080.

The previous prime is 83098219. The next prime is 83098289. The reversal of 83098224 is 42289038.

83098224 = T₁₅₇ + T₁₅₈ + ... + T₇₉₄.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1240239 + ... + 1240305.

It is an arithmetic number, because the mean of its divisors is an integer number (1150968).

Almost surely, 2^83098224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83098224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138116160).

83098224 is an abundant number, since it is smaller than the sum of its proper divisors (193134096).

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

83098224 is a wasteful number, since it uses less digits than its factorization.

83098224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 83098224 is about 9115.8227275436. The cubic root of 83098224 is about 436.3790716131.

The spelling of 83098224 in words is "eighty-three million, ninety-eight thousand, two hundred twenty-four".