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2263678164 = 2235112191013
BaseRepresentation
bin1000011011101100…
…1111110011010100
312211202111202200000
42012323033303110
514114000200124
61012342251300
7110044642536
oct20673176324
95752452600
102263678164
11a61872a00
12532126b30
132a0c98847
141768d5856
15d3ae96c9
hex86ecfcd4

2263678164 has 216 divisors, whose sum is σ = 6872567520. Its totient is φ = 649218240.

The previous prime is 2263678141. The next prime is 2263678199. The reversal of 2263678164 is 4618763622.

2263678164 is a `hidden beast` number, since 2 + 2 + 636 + 7 + 8 + 1 + 6 + 4 = 666.

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, 2234122 + ... + 2235134.

Almost surely, 22263678164 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 2263678164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436283760).

2263678164 is an abundant number, since it is smaller than the sum of its proper divisors (4608889356).

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

2263678164 is a wasteful number, since it uses less digits than its factorization.

2263678164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1048 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 2263678164 is about 47578.1269492610. The cubic root of 2263678164 is about 1313.0206626527.

The spelling of 2263678164 in words is "two billion, two hundred sixty-three million, six hundred seventy-eight thousand, one hundred sixty-four".