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2266974432 = 253323311261
BaseRepresentation
bin1000011100011111…
…0100100011100000
312211222201020022000
42013013310203200
514120321140212
61012541044000
7110114651622
oct20707644340
95758636260
102266974432
11a63714498
12533256600
132a1880cb8
14177112c12
15d404b1dc
hex871f48e0

2266974432 has 96 divisors (see below), whose sum is σ = 6640976160. Its totient is φ = 752348160.

The previous prime is 2266974431. The next prime is 2266974449. The reversal of 2266974432 is 2344796622.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2266974431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195682 + ... + 206942.

It is an arithmetic number, because the mean of its divisors is an integer number (69176835).

Almost surely, 22266974432 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 2266974432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320488080).

2266974432 is an abundant number, since it is smaller than the sum of its proper divisors (4374001728).

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

2266974432 is a wasteful number, since it uses less digits than its factorization.

2266974432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11513 (or 11499 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 2266974432 is about 47612.7549297455. The cubic root of 2266974432 is about 1313.6576744241.

The spelling of 2266974432 in words is "two billion, two hundred sixty-six million, nine hundred seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 233 288 432 466 699 864 932 1398 1864 2097 2796 3728 4194 5592 6291 7456 8388 11184 11261 12582 16776 22368 22522 25164 33552 33783 45044 50328 67104 67566 90088 100656 101349 135132 180176 201312 202698 270264 304047 360352 405396 540528 608094 810792 1081056 1216188 1621584 2432376 2623813 3243168 4864752 5247626 7871439 9729504 10495252 15742878 20990504 23614317 31485756 41981008 47228634 62971512 70842951 83962016 94457268 125943024 141685902 188914536 251886048 283371804 377829072 566743608 755658144 1133487216 2266974432