Search a number
-
+
2204655024000 = 273531113231797
BaseRepresentation
bin100000000101001111101…
…011011111011110000000
321210202121012101020220210
4200011033223133132000
5242110113141232000
64404445440234120
7315165256335432
oct40051753373600
97722535336823
102204655024000
1177aa97316460
122b733a60b940
1312cb8a0c7900
14789c4cb2652
153c534e63350
hex2014fadf780

2204655024000 has 1536 divisors, whose sum is σ = 8922981150720. Its totient is φ = 476835840000.

The previous prime is 2204655023953. The next prime is 2204655024023. The reversal of 2204655024000 is 4205564022.

It is a happy number.

It is a super-3 number, since 3×22046550240003 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2766191602 + ... + 2766192398.

It is an arithmetic number, because the mean of its divisors is an integer number (5809232520).

Almost surely, 22204655024000 is an apocalyptic number.

2204655024000 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 2204655024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4461490575360).

2204655024000 is an abundant number, since it is smaller than the sum of its proper divisors (6718326126720).

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

2204655024000 is a wasteful number, since it uses less digits than its factorization.

2204655024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 2204655024000 in words is "two trillion, two hundred four billion, six hundred fifty-five million, twenty-four thousand".