233152334303440 has 40 divisors (see below), whose sum is σ = 573966187685640. Its totient is φ = 87774996443136.

The previous prime is 233152334303387. The next prime is 233152334303573. The reversal of 233152334303440 is 44303433251332.

It can be written as a sum of positive squares in 4 ways, for example, as 97308833746576 + 135843500556864 = 9864524^2 + 11655192^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×233152334303440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 233152334303393 and 233152334303402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85717768605 + ... + 85717771324.

It is an arithmetic number, because the mean of its divisors is an integer number (14349154692141).

Almost surely, 2^{233152334303440} is an apocalyptic number.

233152334303440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233152334303440 is an abundant number, since it is smaller than the sum of its proper divisors (340813853382200).

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

233152334303440 is a wasteful number, since it uses less digits than its factorization.

233152334303440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171435539959 (or 171435539953 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 40.

Adding to 233152334303440 its reverse (44303433251332), we get a palindrome (277455767554772).

The spelling of 233152334303440 in words is "two hundred thirty-three trillion, one hundred fifty-two billion, three hundred thirty-four million, three hundred three thousand, four hundred forty".