85100224 has 56 divisors (see below), whose sum is σ = 186080400. Its totient is φ = 38292480.

The previous prime is 85100201. The next prime is 85100231. The reversal of 85100224 is 42200158.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 85100195 and 85100204.

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, 76182 + ... + 77290.

Almost surely, 2^85100224 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 85100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93040200).

85100224 is an abundant number, since it is smaller than the sum of its proper divisors (100980176).

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

85100224 is a wasteful number, since it uses less digits than its factorization.

85100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 85100224 is about 9224.9782655571. The cubic root of 85100224 is about 439.8557102638.

The spelling of 85100224 in words is "eighty-five million, one hundred thousand, two hundred twenty-four".