Search a number
-
+
2231655976080 = 24335972109807
BaseRepresentation
bin100000011110011001000…
…011111100110010010000
321220100021221102201222000
4200132121003330302100
5243030412412213310
64425113020314000
7320142341545356
oct40363103746220
97810257381860
102231655976080
1179049268a393
123006150a2900
131325a104c92b
147a026cc17d6
153d0b56354c0
hex207990fcc90

2231655976080 has 240 divisors, whose sum is σ = 7766948240640. Its totient is φ = 588967759872.

The previous prime is 2231655976009. The next prime is 2231655976093. The reversal of 2231655976080 is 806795561322.

2231655976080 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 6 + 559 + 7 + 6 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×22316559760803 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20268537 + ... + 20378343.

It is an arithmetic number, because the mean of its divisors is an integer number (32362284336).

Almost surely, 22231655976080 is an apocalyptic number.

2231655976080 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 2231655976080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883474120320).

2231655976080 is an abundant number, since it is smaller than the sum of its proper divisors (5535292264560).

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

2231655976080 is a wasteful number, since it uses less digits than its factorization.

2231655976080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110023 (or 109914 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 2231655976080 in words is "two trillion, two hundred thirty-one billion, six hundred fifty-five million, nine hundred seventy-six thousand, eighty".