240100214224 has 40 divisors (see below), whose sum is σ = 506607340680. Its totient is φ = 109570357248.

The previous prime is 240100214203. The next prime is 240100214251. The reversal of 240100214224 is 422412001042.

It can be written as a sum of positive squares in 4 ways, for example, as 18541724224 + 221558490000 = 136168^2 + 470700^2 .

It is a super-2 number, since 2×240100214224² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240100214195 and 240100214204.

It is a congruent number.

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, 6466477 + ... + 6503500.

It is an arithmetic number, because the mean of its divisors is an integer number (12665183517).

Almost surely, 2^240100214224 is an apocalyptic number.

It is an amenable number.

240100214224 is an abundant number, since it is smaller than the sum of its proper divisors (266507126456).

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

240100214224 is a wasteful number, since it uses less digits than its factorization.

240100214224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12970087 (or 12970081 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 240100214224 its reverse (422412001042), we get a palindrome (662512215266).

The spelling of 240100214224 in words is "two hundred forty billion, one hundred million, two hundred fourteen thousand, two hundred twenty-four".