233146222641332 has 288 divisors, whose sum is σ = 581239981136640. Its totient is φ = 79404642662400.

The previous prime is 233146222641317. The next prime is 233146222641341.

233146222641332 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×233146222641332² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2193294008 + ... + 2193400304.

Almost surely, 2^{233146222641332} is an apocalyptic number.

233146222641332 is a gapful number since it is divisible by the number (22) 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 233146222641332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290619990568320).

233146222641332 is an abundant number, since it is smaller than the sum of its proper divisors (348093758495308).

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

233146222641332 is a wasteful number, since it uses less digits than its factorization.

233146222641332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108983 (or 108970 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 44.

The spelling of 233146222641332 in words is "two hundred thirty-three trillion, one hundred forty-six billion, two hundred twenty-two million, six hundred forty-one thousand, three hundred thirty-two".