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229049100 = 223352712119
BaseRepresentation
bin11011010011100…
…00001100001100
3120221222220022000
431221300030030
5432114032400
634421152300
75450612430
oct1551601414
9527886260
10229049100
11108323a85
126485b690
13385b8517
14225c49c0
1515196600
hexda7030c

229049100 has 144 divisors (see below), whose sum is σ = 841612800. Its totient is φ = 52349760.

The previous prime is 229049099. The next prime is 229049101. The reversal of 229049100 is 1940922.

It is an interprime number because it is at equal distance from previous prime (229049099) and next prime (229049101).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (229049101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12841 + ... + 24959.

Almost surely, 2229049100 is an apocalyptic number.

229049100 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 229049100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420806400).

229049100 is an abundant number, since it is smaller than the sum of its proper divisors (612563700).

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

229049100 is a wasteful number, since it uses less digits than its factorization.

229049100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12149 (or 12136 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 229049100 is about 15134.3681731349. The cubic root of 229049100 is about 611.8470398200.

The spelling of 229049100 in words is "two hundred twenty-nine million, forty-nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 126 135 140 150 175 180 189 210 225 252 270 300 315 350 378 420 450 525 540 630 675 700 756 900 945 1050 1260 1350 1575 1890 2100 2700 3150 3780 4725 6300 9450 12119 18900 24238 36357 48476 60595 72714 84833 109071 121190 145428 169666 181785 218142 242380 254499 302975 327213 339332 363570 424165 436284 508998 545355 605950 654426 727140 763497 848330 908925 1017996 1090710 1211900 1272495 1308852 1526994 1636065 1696660 1817850 2120825 2181420 2290491 2544990 2726775 3053988 3272130 3635700 3817485 4241650 4580982 5089980 5453550 6362475 6544260 7634970 8180325 8483300 9161964 10907100 11452455 12724950 15269940 16360650 19087425 22904910 25449900 32721300 38174850 45809820 57262275 76349700 114524550 229049100