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2263730112 = 26337316037
BaseRepresentation
bin1000011011101101…
…1100011111000000
312211202121101221000
42012323130133000
514114003330422
61012343332000
7110045250150
oct20673343700
95752541830
102263730112
11a618a8a36
12532151000
132a0cb6397
1417690a760
15d3b09cac
hex86edc7c0

2263730112 has 224 divisors, whose sum is σ = 7852298240. Its totient is φ = 625812480.

The previous prime is 2263730107. The next prime is 2263730159. The reversal of 2263730112 is 2110373622.

2263730112 is a `hidden beast` number, since 22 + 637 + 3 + 0 + 1 + 1 + 2 = 666.

2263730112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 371958 + ... + 377994.

Almost surely, 22263730112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2263730112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926149120).

2263730112 is an abundant number, since it is smaller than the sum of its proper divisors (5588568128).

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

2263730112 is a wasteful number, since it uses less digits than its factorization.

2263730112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6096 (or 6080 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2263730112 is about 47578.6728692594. The cubic root of 2263730112 is about 1313.0307065239.

The spelling of 2263730112 in words is "two billion, two hundred sixty-three million, seven hundred thirty thousand, one hundred twelve".