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229072536 = 23347114591
BaseRepresentation
bin11011010011101…
…01111010011000
3120222001002110000
431221311322120
5432120310121
634421453000
75451040650
oct1551657230
9528032400
10229072536
1110833a650
1264871160
13385c60a4
14225cd360
151519d526
hexda75e98

229072536 has 160 divisors (see below), whose sum is σ = 800110080. Its totient is φ = 59486400.

The previous prime is 229072523. The next prime is 229072541. The reversal of 229072536 is 635270922.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 229072536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47601 + ... + 52191.

It is an arithmetic number, because the mean of its divisors is an integer number (5000688).

Almost surely, 2229072536 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 229072536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400055040).

229072536 is an abundant number, since it is smaller than the sum of its proper divisors (571037544).

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

229072536 is a wasteful number, since it uses less digits than its factorization.

229072536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4627 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 229072536 is about 15135.1424175658. The cubic root of 229072536 is about 611.8679069007.

The spelling of 229072536 in words is "two hundred twenty-nine million, seventy-two thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 81 84 88 99 108 126 132 154 162 168 189 198 216 231 252 264 297 308 324 378 396 462 504 567 594 616 648 693 756 792 891 924 1134 1188 1386 1512 1782 1848 2079 2268 2376 2772 3564 4158 4536 4591 5544 6237 7128 8316 9182 12474 13773 16632 18364 24948 27546 32137 36728 41319 49896 50501 55092 64274 82638 96411 101002 110184 123957 128548 151503 165276 192822 202004 247914 257096 289233 303006 330552 353507 371871 385644 404008 454509 495828 578466 606012 707014 743742 771288 867699 909018 991656 1060521 1156932 1212024 1363527 1414028 1487484 1735398 1818036 2121042 2313864 2603097 2727054 2828056 2974968 3181563 3470796 3636072 4090581 4242084 5206194 5454108 6363126 6941592 8181162 8484168 9544689 10412388 10908216 12726252 16362324 19089378 20824776 25452504 28634067 32724648 38178756 57268134 76357512 114536268 229072536