10219400 has 48 divisors (see below), whose sum is σ = 24419940. Its totient is φ = 3974400.

The previous prime is 10219399. The next prime is 10219403. The reversal of 10219400 is 491201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5750404 + 4468996 = 2398^2 + 2114^2 .

It is a super-2 number, since 2×10219400² = 208872272720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10219403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6710 + ... + 8090.

Almost surely, 2^10219400 is an apocalyptic number.

10219400 is a gapful number since it is divisible by the number (10) 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 10219400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12209970).

10219400 is an abundant number, since it is smaller than the sum of its proper divisors (14200540).

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

10219400 is a wasteful number, since it uses less digits than its factorization.

10219400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 10219400 is about 3196.7796295647. The cubic root of 10219400 is about 217.0076943763.

The spelling of 10219400 in words is "ten million, two hundred nineteen thousand, four hundred".