5346224100 has 144 divisors (see below), whose sum is σ = 19642492800. Its totient is φ = 1221989760.

The previous prime is 5346224089. The next prime is 5346224111. The reversal of 5346224100 is 14226435.

5346224100 is a `hidden beast` number, since 5 + 34 + 622 + 4 + 1 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5346224089) and next prime (5346224111).

It is a super-2 number, since 2×5346224100² = 57164224254841620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122535 + ... + 160334.

It is an arithmetic number, because the mean of its divisors is an integer number (136406200).

Almost surely, 2^5346224100 is an apocalyptic number.

5346224100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5346224100 is an abundant number, since it is smaller than the sum of its proper divisors (14296268700).

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

5346224100 is a wasteful number, since it uses less digits than its factorization.

5346224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282899 (or 282886 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5346224100 is about 73117.8781147265. The cubic root of 5346224100 is about 1748.5674371373.

The spelling of 5346224100 in words is "five billion, three hundred forty-six million, two hundred twenty-four thousand, one hundred".