Search a number
-
+
2221353420 = 223511131991301
BaseRepresentation
bin1000010001100111…
…0010100111001100
312201210212110000220
42010121302213030
514022131302140
61004231151340
7106022123016
oct20431624714
95653773026
102221353420
11a3a994780
1251bb15550
13295299b10
141710391b6
15d0038bd0
hex846729cc

2221353420 has 192 divisors, whose sum is σ = 7349529600. Its totient is φ = 494208000.

The previous prime is 2221353419. The next prime is 2221353439. The reversal of 2221353420 is 243531222.

It is a super-2 number, since 2×22213534202 = 9868822033091392800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1706770 + ... + 1708070.

It is an arithmetic number, because the mean of its divisors is an integer number (38278800).

Almost surely, 22221353420 is an apocalyptic number.

2221353420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221353420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674764800).

2221353420 is an abundant number, since it is smaller than the sum of its proper divisors (5128176180).

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

2221353420 is a wasteful number, since it uses less digits than its factorization.

2221353420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2221353420 is about 47131.2361391042. The cubic root of 2221353420 is about 1304.7857959369.

Adding to 2221353420 its reverse (243531222), we get a palindrome (2464884642).

The spelling of 2221353420 in words is "two billion, two hundred twenty-one million, three hundred fifty-three thousand, four hundred twenty".