Search a number
-
+
2272655880 = 233451131731
BaseRepresentation
bin1000011101110101…
…1111101000001000
312212101101212210000
42013131133220020
514123244442010
61013302523000
7110214153615
oct20735375010
95771355700
102272655880
11a66945000
12535136460
132a2abccc1
14177b9150c
15d47be7c0
hex8775fa08

2272655880 has 640 divisors, whose sum is σ = 9183144960. Its totient is φ = 501811200.

The previous prime is 2272655839. The next prime is 2272655881. The reversal of 2272655880 is 885562722.

2272655880 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 65 + 588 + 0 = 666.

2272655880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2272655881) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 73311465 + ... + 73311495.

It is an arithmetic number, because the mean of its divisors is an integer number (14348664).

Almost surely, 22272655880 is an apocalyptic number.

2272655880 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 2272655880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4591572480).

2272655880 is an abundant number, since it is smaller than the sum of its proper divisors (6910489080).

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

2272655880 is a wasteful number, since it uses less digits than its factorization.

2272655880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 2272655880 is about 47672.3806831587. The cubic root of 2272655880 is about 1314.7541801730.

It can be divided in two parts, 22726 and 55880, that added together give a triangular number (78606 = T396).

The spelling of 2272655880 in words is "two billion, two hundred seventy-two million, six hundred fifty-five thousand, eight hundred eighty".