Search a number
-
+
2273631360 = 27357211133
BaseRepresentation
bin1000011110000100…
…1101110010000000
312212110020102212220
42013201031302000
514124022200420
61013335451040
7110225355600
oct20741156200
95773212786
102273631360
11a67450990
12535526a80
132a3072000
14177d66c00
15d4913840
hex8784dc80

2273631360 has 768 divisors, whose sum is σ = 9962870400. Its totient is φ = 436101120.

The previous prime is 2273631359. The next prime is 2273631361. The reversal of 2273631360 is 631363722.

It is an interprime number because it is at equal distance from previous prime (2273631359) and next prime (2273631361).

It is a super-2 number, since 2×22736313602 = 10338799122350899200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2273631361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 174894714 + ... + 174894726.

Almost surely, 22273631360 is an apocalyptic number.

2273631360 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 2273631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981435200).

2273631360 is an abundant number, since it is smaller than the sum of its proper divisors (7689239040).

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

2273631360 is a wasteful number, since it uses less digits than its factorization.

2273631360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 33.

The square root of 2273631360 is about 47682.6106667829. The cubic root of 2273631360 is about 1314.9422615813.

The spelling of 2273631360 in words is "two billion, two hundred seventy-three million, six hundred thirty-one thousand, three hundred sixty".