Search a number
-
+
2226666222 = 2321117661517
BaseRepresentation
bin1000010010111000…
…0011101011101110
312202011212100211100
42010232003223232
514030011304342
61004541103530
7106115231154
oct20456035356
95664770740
102226666222
11a42993320
12521857ba6
1329640a0a1
14171a1d3d4
15d0737e4c
hex84b83aee

2226666222 has 48 divisors (see below), whose sum is σ = 5572627632. Its totient is φ = 635055360.

The previous prime is 2226666209. The next prime is 2226666223.

2226666222 is nontrivially palindromic in base 10.

2226666222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226666223) 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, 327393 + ... + 334124.

It is an arithmetic number, because the mean of its divisors is an integer number (116096409).

Almost surely, 22226666222 is an apocalyptic number.

2226666222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2226666222 is an abundant number, since it is smaller than the sum of its proper divisors (3345961410).

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

2226666222 is a wasteful number, since it uses less digits than its factorization.

2226666222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661553 (or 661550 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 2226666222 is about 47187.5642728039. The cubic root of 2226666222 is about 1305.8251847150.

It can be divided in two parts, 22266 and 66222, that added together give a palindrome (88488).

The spelling of 2226666222 in words is "two billion, two hundred twenty-six million, six hundred sixty-six thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 661517 1323034 1984551 3969102 5953653 7276687 11245789 11907306 14553374 21830061 22491578 33737367 43660122 65490183 67474734 101212101 123703679 130980366 202424202 247407358 371111037 742222074 1113333111 2226666222