Search a number
-
+
2211221002320 = 2434511294324877
BaseRepresentation
bin100000001011010111000…
…010101101100001010000
321211101112210102111220000
4200023113002231201100
5242212040034033240
64411453152050000
7315520055254401
oct40132702554120
97741483374800
102211221002320
11782856678120
122b8671533900
13130695509895
1479048d2d9a8
153c7bb5e8430
hex202d70ad850

2211221002320 has 800 divisors, whose sum is σ = 8868883605120. Its totient is φ = 505512161280.

The previous prime is 2211221002301. The next prime is 2211221002337. The reversal of 2211221002320 is 232001221122.

2211221002320 is a `hidden beast` number, since 2 + 211 + 221 + 0 + 0 + 232 + 0 = 666.

It is a super-2 number, since 2×22112210023202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2211221002293 and 2211221002302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 88873722 + ... + 88898598.

Almost surely, 22211221002320 is an apocalyptic number.

2211221002320 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 2211221002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4434441802560).

2211221002320 is an abundant number, since it is smaller than the sum of its proper divisors (6657662602800).

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

2211221002320 is a wasteful number, since it uses less digits than its factorization.

2211221002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24985 (or 24970 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2211221002320 its reverse (232001221122), we get a palindrome (2443222223442).

The spelling of 2211221002320 in words is "two trillion, two hundred eleven billion, two hundred twenty-one million, two thousand, three hundred twenty".