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4142223000 = 233253460247
BaseRepresentation
bin1111011011100101…
…0100111010011000
3101200200022201201200
43312321110322120
531440402114000
61523010114200
7204435212616
oct36671247230
911620281650
104142223000
1118361a44a3
1297727b960
13510229836
142b41b66b6
151939ba500
hexf6e54e98

4142223000 has 96 divisors (see below), whose sum is σ = 14000744160. Its totient is φ = 1104590400.

The previous prime is 4142222977. The next prime is 4142223017. The reversal of 4142223000 is 3222414.

4142223000 is a `hidden beast` number, since 414 + 22 + 230 + 0 + 0 = 666.

It is a super-2 number, since 2×41422230002 = 34316022763458000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221124 + ... + 239123.

It is an arithmetic number, because the mean of its divisors is an integer number (145841085).

Almost surely, 24142223000 is an apocalyptic number.

4142223000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4142223000 is an abundant number, since it is smaller than the sum of its proper divisors (9858521160).

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

4142223000 is a wasteful number, since it uses less digits than its factorization.

4142223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460274 (or 460257 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4142223000 is about 64360.1041018425. The cubic root of 4142223000 is about 1605.9961208057.

Adding to 4142223000 its reverse (3222414), we get a palindrome (4145445414).

The spelling of 4142223000 in words is "four billion, one hundred forty-two million, two hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 460247 920494 1380741 1840988 2301235 2761482 3681976 4142223 4602470 5522964 6903705 8284446 9204940 11045928 11506175 13807410 16568892 18409880 20711115 23012350 27614820 33137784 34518525 41422230 46024700 55229640 57530875 69037050 82844460 92049400 103555575 115061750 138074100 165688920 172592625 207111150 230123500 276148200 345185250 414222300 460247000 517777875 690370500 828444600 1035555750 1380741000 2071111500 4142223000