213224090450 has 162 divisors, whose sum is σ = 487900398213. Its totient is φ = 69116695200.

The previous prime is 213224090441. The next prime is 213224090459. The reversal of 213224090450 is 54090422312.

It is an interprime number because it is at equal distance from previous prime (213224090441) and next prime (213224090459).

It can be written as a sum of positive squares in 2 ways, for example, as 208959608641 + 4264481809 = 457121^2 + 65303^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=326515.

It is not an unprimeable number, because it can be changed into a prime (213224090459) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 434264705 + ... + 434265195.

Almost surely, 2^213224090450 is an apocalyptic number.

213224090450 is an abundant number, since it is smaller than the sum of its proper divisors (274676307763).

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

213224090450 is an equidigital number, since it uses as much as digits as its factorization.

213224090450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Multiplying 213224090450 by its sum of digits (32), we get a square (6823170894400 = 2612120²).

The spelling of 213224090450 in words is "two hundred thirteen billion, two hundred twenty-four million, ninety thousand, four hundred fifty".