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229873860 = 223257117987
BaseRepresentation
bin11011011001110…
…01100011000100
3121000112210122200
431230321203010
5432321430420
634450554500
75460616116
oct1554714304
9530483580
10229873860
111088376a7
1264b98a30
1338816a48
142275b3b6
15152aab90
hexdb398c4

229873860 has 72 divisors (see below), whose sum is σ = 707144256. Its totient is φ = 60432960.

The previous prime is 229873849. The next prime is 229873867. The reversal of 229873860 is 68378922.

229873860 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 2×2298738602 = 105683983022599200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (229873867) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3787 + ... + 21773.

It is an arithmetic number, because the mean of its divisors is an integer number (9821448).

Almost surely, 2229873860 is an apocalyptic number.

229873860 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 229873860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353572128).

229873860 is an abundant number, since it is smaller than the sum of its proper divisors (477270396).

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

229873860 is a wasteful number, since it uses less digits than its factorization.

229873860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18073 (or 18068 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 229873860 is about 15161.5916051053. The cubic root of 229873860 is about 612.5805397353.

The spelling of 229873860 in words is "two hundred twenty-nine million, eight hundred seventy-three thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2556 3195 4260 6390 12780 17987 35974 53961 71948 89935 107922 161883 179870 215844 269805 323766 359740 539610 647532 809415 1079220 1277077 1618830 2554154 3237660 3831231 5108308 6385385 7662462 11493693 12770770 15324924 19156155 22987386 25541540 38312310 45974772 57468465 76624620 114936930 229873860