Search a number
-
+
223223323322322 = 23212401295740129
BaseRepresentation
bin110010110000010100111010…
…111001000110011111010010
31002021100221102012121001121100
4302300110322321012133102
5213224242331232303242
62110431213513005230
765006232021454011
oct6260247271063722
91067327365531540
10223223323322322
1165142530660554
12210522133b3816
139772b3b4562cb
143d1a0d066ca78
151ac183e4b754c
hexcb053ae467d2

223223323322322 has 12 divisors (see below), whose sum is σ = 483650533865070. Its totient is φ = 74407774440768.

The previous prime is 223223323322303. The next prime is 223223323322323.

223223323322322 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 2 + 3 + 3 + 2 + 3 + 322 + 322 = 666.

223223323322322 is nontrivially palindromic in base 10.

223223323322322 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 222663129453801 + 560193868521 = 14921901^2 + 748461^2 .

It is a super-3 number, since 3×2232233233223223 (a number of 44 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (223223323322323) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6200647870047 + ... + 6200647870082.

Almost surely, 2223223323322322 is an apocalyptic number.

223223323322322 is an abundant number, since it is smaller than the sum of its proper divisors (260427210542748).

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

223223323322322 is a wasteful number, since it uses less digits than its factorization.

223223323322322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12401295740137 (or 12401295740134 counting only the distinct ones).

The product of its digits is 373248, while the sum is 36.

The spelling of 223223323322322 in words is "two hundred twenty-three trillion, two hundred twenty-three billion, three hundred twenty-three million, three hundred twenty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 12401295740129 24802591480258 37203887220387 74407774440774 111611661661161 223223323322322