Search a number
-
+
2230220322 = 2321111263739
BaseRepresentation
bin1000010011101110…
…0111011000100010
312202102112221010200
42010323213120202
514031414022242
61005145210030
7106160363031
oct20473473042
95672487120
102230220322
11a449a05a0
12522a90916
132970829c5
141722a6718
15d0bdb04c
hex84ee7622

2230220322 has 24 divisors (see below), whose sum is σ = 5271430320. Its totient is φ = 675824280.

The previous prime is 2230220309. The next prime is 2230220341.

2230220322 is a `hidden beast` number, since 22 + 302 + 20 + 322 = 666.

2230220322 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2230220295 and 2230220304.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5631672 + ... + 5632067.

It is an arithmetic number, because the mean of its divisors is an integer number (219642930).

Almost surely, 22230220322 is an apocalyptic number.

2230220322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2230220322 is an abundant number, since it is smaller than the sum of its proper divisors (3041209998).

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

2230220322 is a wasteful number, since it uses less digits than its factorization.

2230220322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11263758 (or 11263755 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2230220322 is about 47225.2085437428. The cubic root of 2230220322 is about 1306.5195809929.

It can be divided in two parts, 22302 and 20322, that added together give a palindrome (42624).

The spelling of 2230220322 in words is "two billion, two hundred thirty million, two hundred twenty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 11263739 22527478 33791217 67582434 101373651 123901129 202747302 247802258 371703387 743406774 1115110161 2230220322