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2289201432 = 2337109149839
BaseRepresentation
bin1000100001110010…
…0111000100011000
312220112112111000020
42020130213010120
514142013421212
61015053310440
7110504614440
oct21034470430
95815474006
102289201432
11a75215a11
1253a795420
132a6363c7b
1417a05b120
15d5e8bd8c
hex88727118

2289201432 has 128 divisors (see below), whose sum is σ = 6652800000. Its totient is φ = 642940416.

The previous prime is 2289201427. The next prime is 2289201437. The reversal of 2289201432 is 2341029822.

It is an interprime number because it is at equal distance from previous prime (2289201427) and next prime (2289201437).

It is a junction number, because it is equal to n+sod(n) for n = 2289201393 and 2289201402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2289201437) 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, 2728069 + ... + 2728907.

It is an arithmetic number, because the mean of its divisors is an integer number (51975000).

Almost surely, 22289201432 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 2289201432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326400000).

2289201432 is an abundant number, since it is smaller than the sum of its proper divisors (4363598568).

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

2289201432 is a wasteful number, since it uses less digits than its factorization.

2289201432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2289201432 is about 47845.5999230859. The cubic root of 2289201432 is about 1317.9370577145.

The spelling of 2289201432 in words is "two billion, two hundred eighty-nine million, two hundred one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 109 149 168 218 298 327 436 447 596 654 763 839 872 894 1043 1192 1308 1526 1678 1788 2086 2289 2517 2616 3052 3129 3356 3576 4172 4578 5034 5873 6104 6258 6712 8344 9156 10068 11746 12516 16241 17619 18312 20136 23492 25032 32482 35238 46984 48723 64964 70476 91451 97446 113687 125011 129928 140952 182902 194892 227374 250022 274353 341061 365804 375033 389784 454748 500044 548706 640157 682122 731608 750066 875077 909496 1000088 1097412 1280314 1364244 1500132 1750154 1920471 2194824 2560628 2625231 2728488 3000264 3500308 3840942 5121256 5250462 7000616 7681884 10500924 13626199 15363768 21001848 27252398 40878597 54504796 81757194 95383393 109009592 163514388 190766786 286150179 327028776 381533572 572300358 763067144 1144600716 2289201432