Search a number
-
+
2297464318080 = 273352329533761
BaseRepresentation
bin100001011011101011100…
…010110110100010000000
322010122011020102220001000
4201123223202312202000
5300120201331134310
64515235053412000
7324662210326641
oct41335342664200
98118136386030
102297464318080
11806392792798
1231132019a000
1313885ac4c579
147d2aad336c8
153eb67c634c0
hex216eb8b6880

2297464318080 has 1024 divisors, whose sum is σ = 8951513472000. Its totient is φ = 554988994560.

The previous prime is 2297464318031. The next prime is 2297464318187. The reversal of 2297464318080 is 808134647922.

2297464318080 is a `hidden beast` number, since 2 + 2 + 97 + 46 + 431 + 8 + 0 + 80 = 666.

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 127 ways as a sum of consecutive naturals, for example, 610863400 + ... + 610867160.

It is an arithmetic number, because the mean of its divisors is an integer number (8741712375).

Almost surely, 22297464318080 is an apocalyptic number.

2297464318080 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 2297464318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475756736000).

2297464318080 is an abundant number, since it is smaller than the sum of its proper divisors (6654049153920).

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

2297464318080 is a wasteful number, since it uses less digits than its factorization.

2297464318080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2297464318080 in words is "two trillion, two hundred ninety-seven billion, four hundred sixty-four million, three hundred eighteen thousand, eighty".