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229425120 = 253251071489
BaseRepresentation
bin11011010110010…
…11111111100000
3120222201000002200
431223023333200
5432213100440
634433213200
75454036621
oct1553137740
9528630080
10229425120
11108560541
1264a01200
13386ba712
1422681a48
151521cc30
hexdacbfe0

229425120 has 144 divisors (see below), whose sum is σ = 790760880. Its totient is φ = 60567552.

The previous prime is 229425113. The next prime is 229425127. The reversal of 229425120 is 21524922.

It is a happy number.

229425120 is a `hidden beast` number, since 229 + 425 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (229425113) and next prime (229425127).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229425127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153336 + ... + 154824.

It is an arithmetic number, because the mean of its divisors is an integer number (5491395).

Almost surely, 2229425120 is an apocalyptic number.

229425120 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 229425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395380440).

229425120 is an abundant number, since it is smaller than the sum of its proper divisors (561335760).

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

229425120 is a wasteful number, since it uses less digits than its factorization.

229425120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 229425120 is about 15146.7857976536. The cubic root of 229425120 is about 612.1816710435.

The spelling of 229425120 in words is "two hundred twenty-nine million, four hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 107 120 144 160 180 214 240 288 321 360 428 480 535 642 720 856 963 1070 1284 1440 1489 1605 1712 1926 2140 2568 2978 3210 3424 3852 4280 4467 4815 5136 5956 6420 7445 7704 8560 8934 9630 10272 11912 12840 13401 14890 15408 17120 17868 19260 22335 23824 25680 26802 29780 30816 35736 38520 44670 47648 51360 53604 59560 67005 71472 77040 89340 107208 119120 134010 142944 154080 159323 178680 214416 238240 268020 318646 357360 428832 477969 536040 637292 714720 796615 955938 1072080 1274584 1433907 1593230 1911876 2144160 2389845 2549168 2867814 3186460 3823752 4779690 5098336 5735628 6372920 7169535 7647504 9559380 11471256 12745840 14339070 15295008 19118760 22942512 25491680 28678140 38237520 45885024 57356280 76475040 114712560 229425120