Search a number
-
+
2221121122220 = 225711131710363361
BaseRepresentation
bin100000010100100101001…
…000101010111110101100
321212100002202020201021102
4200110211020222332230
5242342324001402340
64420211410022232
7316320311013620
oct40244510527654
97770082221242
102221121122220
11786a76a727a0
122ba574b77978
131315b25c5cb0
1479707ad3180
153cb9a827215
hex2052522afac

2221121122220 has 384 divisors, whose sum is σ = 6695504105472. Its totient is φ = 595604275200.

The previous prime is 2221121122201. The next prime is 2221121122247. The reversal of 2221121122220 is 222211211222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2221121122192 and 2221121122201.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35023340 + ... + 35086700.

It is an arithmetic number, because the mean of its divisors is an integer number (17436208608).

Almost surely, 22221121122220 is an apocalyptic number.

2221121122220 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 2221121122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347752052736).

2221121122220 is an abundant number, since it is smaller than the sum of its proper divisors (4474382983252).

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

2221121122220 is a wasteful number, since it uses less digits than its factorization.

2221121122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63521 (or 63519 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2221121122220 its reverse (222211211222), we get a palindrome (2443332333442).

The spelling of 2221121122220 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred twenty".