Search a number
-
+
2212210320320 = 265711213627841
BaseRepresentation
bin100000001100010010000…
…000101010001111000000
321211111002202000002001102
4200030102000222033000
5242221101320222240
64412135252353532
7315553430315420
oct40142200521700
97744082002042
102212210320320
11783214065400
122b88a89158a8
131307c2476950
147910049a480
153c8283b9815
hex2031202a3c0

2212210320320 has 336 divisors, whose sum is σ = 7126478837184. Its totient is φ = 636479078400.

The previous prime is 2212210320277. The next prime is 2212210320323. The reversal of 2212210320320 is 230230122122.

It is a happy number.

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 = 2212210320292 and 2212210320301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212210320323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3209600 + ... + 3837440.

It is an arithmetic number, because the mean of its divisors is an integer number (21209758444).

Almost surely, 22212210320320 is an apocalyptic number.

2212210320320 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 2212210320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3563239418592).

2212210320320 is an abundant number, since it is smaller than the sum of its proper divisors (4914268516864).

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

2212210320320 is a wasteful number, since it uses less digits than its factorization.

2212210320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627900 (or 627879 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2212210320320 its reverse (230230122122), we get a palindrome (2442440442442).

The spelling of 2212210320320 in words is "two trillion, two hundred twelve billion, two hundred ten million, three hundred twenty thousand, three hundred twenty".