Search a number
-
+
2221312120 = 235471181549
BaseRepresentation
bin1000010001100110…
…1000100001111000
312201210210100101021
42010121220201320
514022123441440
61004230232224
7106021561426
oct20431504170
95653710337
102221312120
11a3a966745
1251bab5674
13295284091
14171028116
15d002b84a
hex84668878

2221312120 has 32 divisors (see below), whose sum is σ = 5104296000. Its totient is φ = 869619328.

The previous prime is 2221312091. The next prime is 2221312153. The reversal of 2221312120 is 212131222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2221312094 and 2221312103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 588895 + ... + 592654.

It is an arithmetic number, because the mean of its divisors is an integer number (159509250).

Almost surely, 22221312120 is an apocalyptic number.

2221312120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221312120 is an abundant number, since it is smaller than the sum of its proper divisors (2882983880).

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

2221312120 is a wasteful number, since it uses less digits than its factorization.

2221312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181607 (or 1181603 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2221312120 is about 47130.7979987609. The cubic root of 2221312120 is about 1304.7777095774. Note that the first 4 decimals are identical.

Adding to 2221312120 its reverse (212131222), we get a palindrome (2433443342).

The spelling of 2221312120 in words is "two billion, two hundred twenty-one million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 1181549 2363098 4726196 5907745 9452392 11815490 23630980 47261960 55532803 111065606 222131212 277664015 444262424 555328030 1110656060 2221312120