214224310103200 has 36 divisors (see below), whose sum is σ = 522975097041390. Its totient is φ = 85689724040960.

The previous prime is 214224310103119. The next prime is 214224310103239. The reversal of 214224310103200 is 2301013422412.

It can be written as a sum of positive squares in 3 ways, for example, as 114747543872784 + 99476766230416 = 10712028^2 + 9973804^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133890193015 + ... + 133890194614.

Almost surely, 2^{214224310103200} is an apocalyptic number.

214224310103200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214224310103200 is an abundant number, since it is smaller than the sum of its proper divisors (308750786938190).

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

214224310103200 is a wasteful number, since it uses less digits than its factorization.

214224310103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267780387649 (or 267780387636 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 214224310103200 its reverse (2301013422412), we get a palindrome (216525323525612).

The spelling of 214224310103200 in words is "two hundred fourteen trillion, two hundred twenty-four billion, three hundred ten million, one hundred three thousand, two hundred".