30220400 has 120 divisors (see below), whose sum is σ = 85244544. Its totient is φ = 10080000.

The previous prime is 30220397. The next prime is 30220429. The reversal of 30220400 is 402203.

It is a congruent number.

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, 120275 + ... + 120525.

Almost surely, 2^30220400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42622272).

30220400 is an abundant number, since it is smaller than the sum of its proper divisors (55024144).

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

30220400 is a wasteful number, since it uses less digits than its factorization.

30220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 30220400 is about 5497.3084323149. The cubic root of 30220400 is about 311.4823214548.

Adding to 30220400 its reverse (402203), we get a palindrome (30622603).

It can be divided in two parts, 302 and 20400, that added together give a palindrome (20702).

The spelling of 30220400 in words is "thirty million, two hundred twenty thousand, four hundred".