Search a number
-
+
223132231322 = 271113111454661
BaseRepresentation
bin1100111111001110110…
…1111010011010011010
3210022221110122210100122
43033303231322122122
512123433322400242
6250301110033242
722056265446440
oct3176355723232
9708843583318
10223132231322
11866a2366a50
12372b2648822
131806c8c8610
14ab2a390b90
155c0e1a3ad2
hex33f3b7a69a

223132231322 has 32 divisors (see below), whose sum is σ = 449385197184. Its totient is φ = 80247355200.

The previous prime is 223132231297. The next prime is 223132231351.

223132231322 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2231322313223 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 223132231291 and 223132231300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55725329 + ... + 55729332.

It is an arithmetic number, because the mean of its divisors is an integer number (14043287412).

Almost surely, 2223132231322 is an apocalyptic number.

223132231322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

223132231322 is an abundant number, since it is smaller than the sum of its proper divisors (226252965862).

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

223132231322 is a wasteful number, since it uses less digits than its factorization.

223132231322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111454694.

The product of its digits is 5184, while the sum is 26.

It can be divided in two parts, 223132 and 231322, that added together give a palindrome (454454).

The spelling of 223132231322 in words is "two hundred twenty-three billion, one hundred thirty-two million, two hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 111454661 222909322 780182627 1226001271 1448910593 1560365254 2452002542 2897821186 8582008897 10142374151 15938016523 17164017794 20284748302 31876033046 111566115661 223132231322