Search a number
-
+
229485888 = 26322391667
BaseRepresentation
bin11011010110110…
…10110101000000
3120222211002110100
431223122311000
5432222022023
634434402400
75454412032
oct1553326500
9528732410
10229485888
111085a2165
1264a30400
133870c288
1422699c52
1515230c43
hexdadad40

229485888 has 84 divisors (see below), whose sum is σ = 660928320. Its totient is φ = 76129536.

The previous prime is 229485871. The next prime is 229485911. The reversal of 229485888 is 888584922.

It is a happy number.

229485888 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2294858882 = 105327545582297088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136831 + ... + 138497.

Almost surely, 2229485888 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 229485888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330464160).

229485888 is an abundant number, since it is smaller than the sum of its proper divisors (431442432).

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

229485888 is a wasteful number, since it uses less digits than its factorization.

229485888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1911 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The square root of 229485888 is about 15148.7916349787. The cubic root of 229485888 is about 612.2357159418.

The spelling of 229485888 in words is "two hundred twenty-nine million, four hundred eighty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 239 288 478 576 717 956 1434 1667 1912 2151 2868 3334 3824 4302 5001 5736 6668 7648 8604 10002 11472 13336 15003 15296 17208 20004 22944 26672 30006 34416 40008 45888 53344 60012 68832 80016 106688 120024 137664 160032 240048 320064 398413 480096 796826 960192 1195239 1593652 2390478 3187304 3585717 4780956 6374608 7171434 9561912 12749216 14342868 19123824 25498432 28685736 38247648 57371472 76495296 114742944 229485888