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2264908386 = 23131371811171
BaseRepresentation
bin1000011011111111…
…1100001001100010
312211211211021012210
42012333330021202
514114304032021
61012424502550
7110061255306
oct20677741142
95754737183
102264908386
11a62533214
1253261aa56
132a13097a0
14176b35d06
15d3c8de76
hex86ffc262

2264908386 has 64 divisors (see below), whose sum is σ = 4945239936. Its totient is φ = 687398400.

The previous prime is 2264908379. The next prime is 2264908403. The reversal of 2264908386 is 6838094622.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1933581 + ... + 1934751.

It is an arithmetic number, because the mean of its divisors is an integer number (77269374).

Almost surely, 22264908386 is an apocalyptic number.

2264908386 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2264908386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472619968).

2264908386 is an abundant number, since it is smaller than the sum of its proper divisors (2680331550).

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

2264908386 is a wasteful number, since it uses less digits than its factorization.

2264908386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507.

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 2264908386 is about 47591.0536340603. The cubic root of 2264908386 is about 1313.2584783164.

The spelling of 2264908386 in words is "two billion, two hundred sixty-four million, nine hundred eight thousand, three hundred eighty-six".

Divisors: 1 2 3 6 13 26 39 78 137 181 274 362 411 543 822 1086 1171 1781 2342 2353 3513 3562 4706 5343 7026 7059 10686 14118 15223 24797 30446 45669 49594 74391 91338 148782 160427 211951 320854 322361 423902 481281 635853 644722 962562 967083 1271706 1934166 2085551 2755363 4171102 5510726 6256653 8266089 12513306 16532178 29037287 58074574 87111861 174223722 377484731 754969462 1132454193 2264908386