32233002223200 has 144 divisors (see below), whose sum is σ = 104937761834640. Its totient is φ = 8593882859520.

The previous prime is 32233002223189. The next prime is 32233002223217. The reversal of 32233002223200 is 232220033223.

It is a super-2 number, since 2×32233002223200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 11813706 + ... + 14283894.

It is an arithmetic number, because the mean of its divisors is an integer number (728734457185).

Almost surely, 2^{32233002223200} is an apocalyptic number.

32233002223200 is a gapful number since it is divisible by the number (30) 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 32233002223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52468880917320).

32233002223200 is an abundant number, since it is smaller than the sum of its proper divisors (72704759611440).

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

32233002223200 is a wasteful number, since it uses less digits than its factorization.

32233002223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475649 (or 2475636 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 32233002223200 its reverse (232220033223), we get a palindrome (32465222256423).

The spelling of 32233002223200 in words is "thirty-two trillion, two hundred thirty-three billion, two million, two hundred twenty-three thousand, two hundred".