274024224 has 144 divisors (see below), whose sum is σ = 835045848. Its totient is φ = 84934656.

The previous prime is 274024199. The next prime is 274024229. The reversal of 274024224 is 422420472.

274024224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 272250000 + 1774224 = 16500^2 + 1332^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274024229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474624 + ... + 475200.

Almost surely, 2^274024224 is an apocalyptic number.

274024224 is a gapful number since it is divisible by the number (24) 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 274024224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417522924).

274024224 is an abundant number, since it is smaller than the sum of its proper divisors (561021624).

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

274024224 is a wasteful number, since it uses less digits than its factorization.

274024224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 274024224 is about 16553.6770537546. The cubic root of 274024224 is about 649.5256689359.

Adding to 274024224 its reverse (422420472), we get a palindrome (696444696).

It can be divided in two parts, 27402 and 4224, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 274024224 in words is "two hundred seventy-four million, twenty-four thousand, two hundred twenty-four".