Search a number
-
+
2231023874976 = 2533132173179367
BaseRepresentation
bin100000011101110011011…
…000101011001110100000
321220021122220000200021000
4200131303120223032200
5243023114102444401
64424530200232000
7320120565020121
oct40356330531640
97807586020230
102231023874976
117901988a6486
1230047946b600
131325000c4900
1479da6d80048
153d079dc6186
hex2077362b3a0

2231023874976 has 1152 divisors, whose sum is σ = 7820093030400. Its totient is φ = 615650181120.

The previous prime is 2231023874809. The next prime is 2231023874977. The reversal of 2231023874976 is 6794783201322.

It is a happy number.

2231023874976 is a `hidden beast` number, since 2 + 2 + 310 + 238 + 7 + 4 + 97 + 6 = 666.

It is a super-3 number, since 3×22310238749763 (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 not an unprimeable number, because it can be changed into a prime (2231023874977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6079083945 + ... + 6079084311.

It is an arithmetic number, because the mean of its divisors is an integer number (6788275200).

Almost surely, 22231023874976 is an apocalyptic number.

2231023874976 is a gapful number since it is divisible by the number (26) 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 2231023874976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910046515200).

2231023874976 is an abundant number, since it is smaller than the sum of its proper divisors (5589069155424).

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

2231023874976 is a wasteful number, since it uses less digits than its factorization.

2231023874976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 2231023874976 in words is "two trillion, two hundred thirty-one billion, twenty-three million, eight hundred seventy-four thousand, nine hundred seventy-six".