Search a number
-
+
223129840933 is a prime number
BaseRepresentation
bin1100111111001110010…
…0110010110100100101
3210022221022011100100201
43033303210302310211
512123432214402213
6250300542510501
722056236232406
oct3176344626445
9708838140321
10223129840933
11866a0a8401a
12372b1895431
131806c26c59c
14ab29d2b9ad
155c0dd806dd
hex33f3932d25

223129840933 has 2 divisors, whose sum is σ = 223129840934. Its totient is φ = 223129840932.

The previous prime is 223129840919. The next prime is 223129840981. The reversal of 223129840933 is 339048921322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209001665889 + 14128175044 = 457167^2 + 118862^2 .

It is a cyclic number.

It is not a de Polignac number, because 223129840933 - 29 = 223129840421 is a prime.

It is a super-3 number, since 3×2231298409333 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223129840033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111564920466 + 111564920467.

It is an arithmetic number, because the mean of its divisors is an integer number (111564920467).

Almost surely, 2223129840933 is an apocalyptic number.

It is an amenable number.

223129840933 is a deficient number, since it is larger than the sum of its proper divisors (1).

223129840933 is an equidigital number, since it uses as much as digits as its factorization.

223129840933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 559872, while the sum is 46.

The spelling of 223129840933 in words is "two hundred twenty-three billion, one hundred twenty-nine million, eight hundred forty thousand, nine hundred thirty-three".