Search a number
-
+
2201200221120 = 263523355728027
BaseRepresentation
bin100000000010000001110…
…000011101101111000000
321210102200102120002022120
4200002001300131233000
5242031024224033440
64403114544004240
7315013536111015
oct40020160355700
97712612502276
102201200221120
1177958415996a
122b6735600680
1312c759424554
147877811b70c
153c3d19d2dd0
hex20081c1dbc0

2201200221120 has 224 divisors, whose sum is σ = 7294982542848. Its totient is φ = 561287688192.

The previous prime is 2201200221109. The next prime is 2201200221127. The reversal of 2201200221120 is 211220021022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2201200221120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201200221127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78524547 + ... + 78552573.

It is an arithmetic number, because the mean of its divisors is an integer number (32566886352).

Almost surely, 22201200221120 is an apocalyptic number.

2201200221120 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 2201200221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647491271424).

2201200221120 is an abundant number, since it is smaller than the sum of its proper divisors (5093782321728).

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

2201200221120 is a wasteful number, since it uses less digits than its factorization.

2201200221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31627 (or 31617 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2201200221120 its reverse (211220021022), we get a palindrome (2412420242142).

The spelling of 2201200221120 in words is "two trillion, two hundred one billion, two hundred million, two hundred twenty-one thousand, one hundred twenty".