Search a number
-
+
2225014162272 = 2533111713771379
BaseRepresentation
bin100000011000001101001…
…011011100001101100000
321212201011001200122021000
4200120031023130031200
5242423312111143042
64422053555232000
7316515632216616
oct40301513341540
97781131618230
102225014162272
11788694541370
122bb2808a8600
13131a83007ca5
1479996b636b6
153cd274c074c
hex2060d2dc360

2225014162272 has 192 divisors, whose sum is σ = 7496037561600. Its totient is φ = 634585098240.

The previous prime is 2225014162229. The next prime is 2225014162309. The reversal of 2225014162272 is 2722614105222.

2225014162272 is a `hidden beast` number, since 2 + 2 + 25 + 0 + 1 + 4 + 1 + 622 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6724122 + ... + 7047257.

It is an arithmetic number, because the mean of its divisors is an integer number (39041862300).

Almost surely, 22225014162272 is an apocalyptic number.

2225014162272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2225014162272 is an abundant number, since it is smaller than the sum of its proper divisors (5271023399328).

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

2225014162272 is a wasteful number, since it uses less digits than its factorization.

2225014162272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13771426 (or 13771412 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 2225014162272 its reverse (2722614105222), we get a palindrome (4947628267494).

The spelling of 2225014162272 in words is "two trillion, two hundred twenty-five billion, fourteen million, one hundred sixty-two thousand, two hundred seventy-two".