Search a number
-
+
2113320220 = 22511193147347
BaseRepresentation
bin111110111110110…
…1011010100011100
312110021120210100021
41331331223110130
513312002221340
6545411441524
7103240632304
oct17575532434
95407523307
102113320220
11994a06840
124ab8b62a4
13278aa2a4b
14160956604
15c57e8e4a
hex7df6b51c

2113320220 has 192 divisors, whose sum is σ = 5388042240. Its totient is φ = 687571200.

The previous prime is 2113320211. The next prime is 2113320229. The reversal of 2113320220 is 220233112.

It is an interprime number because it is at equal distance from previous prime (2113320211) and next prime (2113320229).

It is a super-2 number, since 2×21133202202 = 8932244704521696800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2113320194 and 2113320203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113320229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6090087 + ... + 6090433.

It is an arithmetic number, because the mean of its divisors is an integer number (28062720).

Almost surely, 22113320220 is an apocalyptic number.

2113320220 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 2113320220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694021120).

2113320220 is an abundant number, since it is smaller than the sum of its proper divisors (3274722020).

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

2113320220 is a wasteful number, since it uses less digits than its factorization.

2113320220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2113320220 is about 45970.8627284718. The cubic root of 2113320220 is about 1283.2810153893.

Adding to 2113320220 its reverse (220233112), we get a palindrome (2333553332).

The spelling of 2113320220 in words is "two billion, one hundred thirteen million, three hundred twenty thousand, two hundred twenty".