214730292100 has 81 divisors (see below), whose sum is σ = 470626254511. Its totient is φ = 85041332800.

The previous prime is 214730292083. The next prime is 214730292113. The reversal of 214730292100 is 1292037412.

The square root of 214730292100 is 463390.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 64086947716 + 150643344384 = 253154^2 + 388128^2 .

It is a super-2 number, since 2×214730292100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 690450945 + ... + 690451255.

Almost surely, 2^214730292100 is an apocalyptic number.

214730292100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

214730292100 is the 463390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214730292100

214730292100 is an abundant number, since it is smaller than the sum of its proper divisors (255895962411).

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

214730292100 is an equidigital number, since it uses as much as digits as its factorization.

214730292100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 214730292100 in words is "two hundred fourteen billion, seven hundred thirty million, two hundred ninety-two thousand, one hundred".