46224100 has 108 divisors (see below), whose sum is σ = 114635892. Its totient is φ = 16070400.

The previous prime is 46224067. The next prime is 46224103. The reversal of 46224100 is 142264.

It can be written as a sum of positive squares in 6 ways, for example, as 553536 + 45670564 = 744^2 + 6758^2 .

It is not an unprimeable number, because it can be changed into a prime (46224103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1249282 + ... + 1249318.

Almost surely, 2^46224100 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 46224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57317946).

46224100 is an abundant number, since it is smaller than the sum of its proper divisors (68411792).

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

46224100 is a wasteful number, since it uses less digits than its factorization.

46224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 46224100 is about 6798.8307818330. The cubic root of 46224100 is about 358.8857005847.

Adding to 46224100 its reverse (142264), we get a palindrome (46366364).

The spelling of 46224100 in words is "forty-six million, two hundred twenty-four thousand, one hundred".