Search a number
-
+
2223013122 = 2321179714087
BaseRepresentation
bin1000010010000000…
…0111110100000010
312201220222202201100
42010200013310002
514023042404442
61004330515230
7106042204551
oct20440076402
95656882640
102223013122
11a40918730
12520595b16
1329572b3a5
1417134bd98
15d026584c
hex84807d02

2223013122 has 48 divisors (see below), whose sum is σ = 5261360832. Its totient is φ = 672747360.

The previous prime is 2223013103. The next prime is 2223013123. The reversal of 2223013122 is 2213103222.

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 = 2223013095 and 2223013104.

It is not an unprimeable number, because it can be changed into a prime (2223013123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150763 + ... + 164849.

It is an arithmetic number, because the mean of its divisors is an integer number (109611684).

Almost surely, 22223013122 is an apocalyptic number.

2223013122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2223013122 is an abundant number, since it is smaller than the sum of its proper divisors (3038347710).

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

2223013122 is a wasteful number, since it uses less digits than its factorization.

2223013122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14903 (or 14900 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2223013122 is about 47148.8400917774. The cubic root of 2223013122 is about 1305.1106754243.

Adding to 2223013122 its reverse (2213103222), we get a palindrome (4436116344).

The spelling of 2223013122 in words is "two billion, two hundred twenty-three million, thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 797 1594 2391 4782 7173 8767 14087 14346 17534 26301 28174 42261 52602 78903 84522 126783 154957 157806 253566 309914 464871 929742 1394613 2789226 11227339 22454678 33682017 67364034 101046051 123500729 202092102 247001458 370502187 741004374 1111506561 2223013122