Search a number
-
+
332052250233 = 31124133221327
BaseRepresentation
bin1001101010011111101…
…10110011111001111001
31011202002021220001012010
410311033312303321321
520420020334001413
6412313120040133
732663364362124
oct4651766637171
91152067801163
10332052250233
11118905925300
125442b763049
132540a433752
14120ddd673bb
15898656bdc3
hex4d4fdb3e79

332052250233 has 24 divisors (see below), whose sum is σ = 486764014464. Its totient is φ = 201194187040.

The previous prime is 332052250213. The next prime is 332052250289.

332052250233 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 332052250233 - 29 = 332052249721 is a prime.

It is a super-2 number, since 2×3320522502332 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332052250233.

It is not an unprimeable number, because it can be changed into a prime (332052250213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1389616 + ... + 1610942.

It is an arithmetic number, because the mean of its divisors is an integer number (20281833936).

Almost surely, 2332052250233 is an apocalyptic number.

332052250233 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

332052250233 is a deficient number, since it is larger than the sum of its proper divisors (154711764231).

332052250233 is a wasteful number, since it uses less digits than its factorization.

332052250233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225485 (or 225474 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 30.

It can be divided in two parts, 332052 and 250233, that added together give a palindrome (582285).

The spelling of 332052250233 in words is "three hundred thirty-two billion, fifty-two million, two hundred fifty thousand, two hundred thirty-three".

Divisors: 1 3 11 33 121 363 4133 12399 45463 136389 221327 500093 663981 1500279 2434597 7303791 26780567 80341701 914744491 2744233473 10062189401 30186568203 110684083411 332052250233