Search a number
-
+
33222422233 = 7211213431029
BaseRepresentation
bin11110111100001101…
…011110111011011001
310011202022211220122201
4132330031132323121
51021014420002413
623132343450201
72254165633600
oct367415367331
9104668756581
1033222422233
11130a9211600
126532156961
133195b84710
1418723cca37
15ce69a59dd
hex7bc35eed9

33222422233 has 36 divisors (see below), whose sum is σ = 45746938020. Its totient is φ = 23896192320.

The previous prime is 33222422179. The next prime is 33222422249.

33222422233 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 7964313049 + 25258109184 = 89243^2 + 158928^2 .

It is a de Polignac number, because none of the positive numbers 2k-33222422233 is a prime.

It is a super-2 number, since 2×332224222332 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33222422293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 138438 + ... + 292591.

Almost surely, 233222422233 is an apocalyptic number.

It is an amenable number.

33222422233 is a deficient number, since it is larger than the sum of its proper divisors (12524515787).

33222422233 is a wasteful number, since it uses less digits than its factorization.

33222422233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431078 (or 431060 counting only the distinct ones).

The product of its digits is 20736, while the sum is 28.

The spelling of 33222422233 in words is "thirty-three billion, two hundred twenty-two million, four hundred twenty-two thousand, two hundred thirty-three".

Divisors: 1 7 11 13 49 77 91 121 143 539 637 847 1001 1573 5929 7007 11011 77077 431029 3017203 4741319 5603377 21120421 33189233 39223639 52154509 61637147 232324631 274565473 365081563 431460029 678008617 2555570941 3020220203 4746060319 33222422233