133222200 has 192 divisors, whose sum is σ = 450372960. Its totient is φ = 32440320.

The previous prime is 133222181. The next prime is 133222211. The reversal of 133222200 is 2222331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 133222200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377224 + ... + 377576.

Almost surely, 2^133222200 is an apocalyptic number.

133222200 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 133222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225186480).

133222200 is an abundant number, since it is smaller than the sum of its proper divisors (317150760).

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

133222200 is a wasteful number, since it uses less digits than its factorization.

133222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 133222200 is about 11542.1921661355. The cubic root of 133222200 is about 510.7309779398.

Adding to 133222200 its reverse (2222331), we get a palindrome (135444531).

It can be divided in two parts, 1332 and 22200, that added together give a palindrome (23532).

The spelling of 133222200 in words is "one hundred thirty-three million, two hundred twenty-two thousand, two hundred".