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2264438036 = 227374189599
BaseRepresentation
bin1000011011111000…
…1001010100010100
312211210221101000102
42012332021110110
514114144004121
61012410433232
7110054256110
oct20676112424
95753841012
102264438036
11a622418a3
12532432818
132a11a3683
14176a52740
15d3be990b
hex86f89514

2264438036 has 96 divisors (see below), whose sum is σ = 4826304000. Its totient is φ = 909342720.

The previous prime is 2264438009. The next prime is 2264438039. The reversal of 2264438036 is 6308344622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264438039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3780065 + ... + 3780663.

It is an arithmetic number, because the mean of its divisors is an integer number (50274000).

Almost surely, 22264438036 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 2264438036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413152000).

2264438036 is an abundant number, since it is smaller than the sum of its proper divisors (2561865964).

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

2264438036 is a wasteful number, since it uses less digits than its factorization.

2264438036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The square root of 2264438036 is about 47586.1117974562. Note that the first 3 decimals coincide. The cubic root of 2264438036 is about 1313.1675645746.

The spelling of 2264438036 in words is "two billion, two hundred sixty-four million, four hundred thirty-eight thousand, thirty-six".

Divisors: 1 2 4 7 14 28 37 41 74 82 89 148 164 178 259 287 356 518 574 599 623 1036 1148 1198 1246 1517 2396 2492 3034 3293 3649 4193 6068 6586 7298 8386 10619 13172 14596 16772 21238 22163 23051 24559 25543 42476 44326 46102 49118 51086 53311 88652 92204 98236 102172 106622 135013 155141 171913 213244 270026 310282 343826 373177 540052 620564 687652 746354 908683 945091 1492708 1817366 1890182 1972507 2185751 3634732 3780364 3945014 4371502 6360781 7890028 8743004 12721562 13807549 15300257 25443124 27615098 30600514 55230196 61201028 80872787 161745574 323491148 566109509 1132219018 2264438036