[go: up one dir, main page]

Search a number
-
+
553332252 = 22311172371151
BaseRepresentation
bin100000111110110…
…010111000011100
31102120012012011010
4200332302320130
52113123113002
6130523455220
716466150364
oct4076627034
91376165133
10553332252
11264383790
12135387510
138a839145
14536b99a4
15338a046c
hex20fb2e1c

553332252 has 192 divisors, whose sum is σ = 1588543488. Its totient is φ = 147840000.

The previous prime is 553332239. The next prime is 553332259. The reversal of 553332252 is 252233355.

553332252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5533322522 = 612353162206783008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553332259) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3664377 + ... + 3664527.

It is an arithmetic number, because the mean of its divisors is an integer number (8273664).

Almost surely, 2553332252 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 553332252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794271744).

553332252 is an abundant number, since it is smaller than the sum of its proper divisors (1035211236).

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

553332252 is a wasteful number, since it uses less digits than its factorization.

553332252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 278 counting only the distinct ones).

The product of its digits is 27000, while the sum is 30.

The square root of 553332252 is about 23523.0153679327. The cubic root of 553332252 is about 820.9725976860.

The spelling of 553332252 in words is "five hundred fifty-three million, three hundred thirty-two thousand, two hundred fifty-two".