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229312728 = 233317197317
BaseRepresentation
bin11011010101100…
…00100011011000
3120222111021221000
431222300203120
5432201001403
634430545000
75453061141
oct1552604330
9528437830
10229312728
11108494057
1264968160
133867b508
1422652ac8
15151e97a3
hexdab08d8

229312728 has 128 divisors (see below), whose sum is σ = 680011200. Its totient is φ = 71350272.

The previous prime is 229312709. The next prime is 229312739. The reversal of 229312728 is 827213922.

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

It is a junction number, because it is equal to n+sod(n) for n = 229312692 and 229312701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 723226 + ... + 723542.

Almost surely, 2229312728 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 229312728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340005600).

229312728 is an abundant number, since it is smaller than the sum of its proper divisors (450698472).

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

229312728 is a wasteful number, since it uses less digits than its factorization.

229312728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 536 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 229312728 is about 15143.0752491031. The cubic root of 229312728 is about 612.0816884423.

The spelling of 229312728 in words is "two hundred twenty-nine million, three hundred twelve thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 197 204 216 306 317 394 408 459 591 612 634 788 918 951 1182 1224 1268 1576 1773 1836 1902 2364 2536 2853 3349 3546 3672 3804 4728 5319 5389 5706 6698 7092 7608 8559 10047 10638 10778 11412 13396 14184 16167 17118 20094 21276 21556 22824 26792 30141 32334 34236 40188 42552 43112 48501 60282 62449 64668 68472 80376 90423 97002 120564 124898 129336 145503 180846 187347 194004 241128 249796 291006 361692 374694 388008 499592 562041 582012 723384 749388 1061633 1124082 1164024 1498776 1686123 2123266 2248164 3184899 3372246 4246532 4496328 6369798 6744492 8493064 9554697 12739596 13488984 19109394 25479192 28664091 38218788 57328182 76437576 114656364 229312728