733221952 has 56 divisors (see below), whose sum is σ = 1486201752. Its totient is φ = 358809600.

The previous prime is 733221947. The next prime is 733221967. The reversal of 733221952 is 259122337.

It can be written as a sum of positive squares in 4 ways, for example, as 233967616 + 499254336 = 15296^2 + 22344^2 .

It is a super-2 number, since 2×733221952² = 1075228861789380608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1143552 + ... + 1144192.

It is an arithmetic number, because the mean of its divisors is an integer number (26539317).

Almost surely, 2^733221952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 733221952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743100876).

733221952 is an abundant number, since it is smaller than the sum of its proper divisors (752979800).

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

733221952 is a wasteful number, since it uses less digits than its factorization.

733221952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 997 counting only the distinct ones).

The product of its digits is 22680, while the sum is 34.

The square root of 733221952 is about 27078.0714232015. The cubic root of 733221952 is about 901.7340854913.

It can be divided in two parts, 73 and 3221952, that added together give a square (3222025 = 1795²).

The spelling of 733221952 in words is "seven hundred thirty-three million, two hundred twenty-one thousand, nine hundred fifty-two".