213214003400 has 96 divisors (see below), whose sum is σ = 525505193640. Its totient is φ = 80173608960.

The previous prime is 213214003399. The next prime is 213214003433. The reversal of 213214003400 is 4300412312.

It can be written as a sum of positive squares in 12 ways, for example, as 31443091684 + 181770911716 = 177322^2 + 426346^2 .

It is a super-2 number, since 2×213214003400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2863442 + ... + 2936958.

Almost surely, 2^213214003400 is an apocalyptic number.

213214003400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213214003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262752596820).

213214003400 is an abundant number, since it is smaller than the sum of its proper divisors (312291190240).

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

213214003400 is a wasteful number, since it uses less digits than its factorization.

213214003400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74403 (or 74394 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 213214003400 its reverse (4300412312), we get a palindrome (217514415712).

The spelling of 213214003400 in words is "two hundred thirteen billion, two hundred fourteen million, three thousand, four hundred".