Search a number
-
+
229509060 = 223511438087
BaseRepresentation
bin11011010111000…
…00011111000100
3120222212021020120
431223200133010
5432223242220
634435101540
75454536424
oct1553403704
9528767216
10229509060
11108608610
1264a418b0
13387199a1
14226a4484
1515237a40
hexdae07c4

229509060 has 96 divisors (see below), whose sum is σ = 717437952. Its totient is φ = 54337920.

The previous prime is 229509047. The next prime is 229509073. The reversal of 229509060 is 60905922.

229509060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (229509047) and next prime (229509073).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24337 + ... + 32423.

It is an arithmetic number, because the mean of its divisors is an integer number (7473312).

Almost surely, 2229509060 is an apocalyptic number.

229509060 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 229509060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358718976).

229509060 is an abundant number, since it is smaller than the sum of its proper divisors (487928892).

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

229509060 is a wasteful number, since it uses less digits than its factorization.

229509060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8153 (or 8151 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 229509060 is about 15149.5564291500. The cubic root of 229509060 is about 612.2563217819.

The spelling of 229509060 in words is "two hundred twenty-nine million, five hundred nine thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 86 110 129 132 165 172 215 220 258 330 430 473 516 645 660 860 946 1290 1419 1892 2365 2580 2838 4730 5676 7095 8087 9460 14190 16174 24261 28380 32348 40435 48522 80870 88957 97044 121305 161740 177914 242610 266871 347741 355828 444785 485220 533742 695482 889570 1043223 1067484 1334355 1390964 1738705 1779140 2086446 2668710 3477410 3825151 4172892 5216115 5337420 6954820 7650302 10432230 11475453 15300604 19125755 20864460 22950906 38251510 45901812 57377265 76503020 114754530 229509060