Search a number
-
+
2283308052480 = 212325721319447
BaseRepresentation
bin100001001110011111110…
…000111111000000000000
322002021121122221002100200
4201032133300333000000
5244402203330134410
64504534235445200
7323651334134400
oct41163760770000
98067548832320
102283308052480
11800388962934
1230a62b2b6800
13137413159950
147c726bc0800
153e5da0643c0
hex2139fc3f000

2283308052480 has 936 divisors, whose sum is σ = 9915380066592. Its totient is φ = 481728135168.

The previous prime is 2283308052479. The next prime is 2283308052533. The reversal of 2283308052480 is 842508033822.

It is a happy number.

2283308052480 is a `hidden beast` number, since 22 + 83 + 308 + 0 + 5 + 248 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117402117 + ... + 117421563.

It is an arithmetic number, because the mean of its divisors is an integer number (10593354772).

Almost surely, 22283308052480 is an apocalyptic number.

2283308052480 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 2283308052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4957690033296).

2283308052480 is an abundant number, since it is smaller than the sum of its proper divisors (7632072014112).

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

2283308052480 is a wasteful number, since it uses less digits than its factorization.

2283308052480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19509 (or 19477 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 2283308052480 in words is "two trillion, two hundred eighty-three billion, three hundred eight million, fifty-two thousand, four hundred eighty".