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2164200654 = 2371144910433
BaseRepresentation
bin1000000011111111…
…0001010011001110
312120211022210011210
42000333301103032
513413013410104
6554430155250
7104426254620
oct20077612316
95524283153
102164200654
11a106a8a90
12504952b26
132864a8b05
141675dcc10
15c9ee9989
hex80ff14ce

2164200654 has 64 divisors (see below), whose sum is σ = 5408985600. Its totient is φ = 560824320.

The previous prime is 2164200641. The next prime is 2164200677. The reversal of 2164200654 is 4560024612.

2164200654 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 202222 + ... + 212654.

It is an arithmetic number, because the mean of its divisors is an integer number (84515400).

Almost surely, 22164200654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164200654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704492800).

2164200654 is an abundant number, since it is smaller than the sum of its proper divisors (3244784946).

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

2164200654 is a wasteful number, since it uses less digits than its factorization.

2164200654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10905.

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2164200654 is about 46520.9700457761. The cubic root of 2164200654 is about 1293.4982375702.

The spelling of 2164200654 in words is "two billion, one hundred sixty-four million, two hundred thousand, six hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 449 462 898 1347 2694 3143 4939 6286 9429 9878 10433 14817 18858 20866 29634 31299 34573 62598 69146 73031 103719 114763 146062 207438 219093 229526 344289 438186 688578 803341 1606682 2410023 4684417 4820046 9368834 14053251 28106502 32790919 51528587 65581838 98372757 103057174 154585761 196745514 309171522 360700109 721400218 1082100327 2164200654