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229922880 = 26351121773
BaseRepresentation
bin11011011010001…
…01100001000000
3121000122021220020
431231011201000
5432330013010
634452013440
75461212045
oct1555054100
9530567806
10229922880
11108870510
1265001280
1338833155
14227711cc
15152ba470
hexdb45840

229922880 has 112 divisors (see below), whose sum is σ = 796405824. Its totient is φ = 55736320.

The previous prime is 229922873. The next prime is 229922893. The reversal of 229922880 is 88229922.

It is a super-4 number, since 4×2299228804 (a number of 35 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327 + ... + 21446.

Almost surely, 2229922880 is an apocalyptic number.

229922880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229922880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398202912).

229922880 is an abundant number, since it is smaller than the sum of its proper divisors (566482944).

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

229922880 is a wasteful number, since it uses less digits than its factorization.

229922880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21804 (or 21794 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 229922880 is about 15163.2081038282. The cubic root of 229922880 is about 612.6240803737.

The spelling of 229922880 in words is "two hundred twenty-nine million, nine hundred twenty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 21773 43546 65319 87092 108865 130638 174184 217730 239503 261276 326595 348368 435460 479006 522552 653190 696736 718509 870920 958012 1045104 1197515 1306380 1393472 1437018 1741840 1916024 2090208 2395030 2612760 2874036 3483680 3592545 3832048 4180416 4790060 5225520 5748072 6967360 7185090 7664096 9580120 10451040 11496144 14370180 15328192 19160240 20902080 22992288 28740360 38320480 45984576 57480720 76640960 114961440 229922880