33842250 has 144 divisors (see below), whose sum is σ = 100203480. Its totient is φ = 8236800.

The previous prime is 33842243. The next prime is 33842273. The reversal of 33842250 is 5224833.

It can be written as a sum of positive squares in 12 ways, for example, as 16378209 + 17464041 = 4047^2 + 4179^2 .

It is a super-2 number, since 2×33842250² = 2290595770125000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 380206 + ... + 380294.

Almost surely, 2^33842250 is an apocalyptic number.

33842250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33842250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50101740).

33842250 is an abundant number, since it is smaller than the sum of its proper divisors (66361230).

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

33842250 is a wasteful number, since it uses less digits than its factorization.

33842250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 33842250 is about 5817.4092171688. The cubic root of 33842250 is about 323.4593750520.

The spelling of 33842250 in words is "thirty-three million, eight hundred forty-two thousand, two hundred fifty".