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229640334 = 23711273619
BaseRepresentation
bin11011011000000…
…00100010001110
3121000002221022120
431230000202032
5432241442314
634441553410
75455624230
oct1554004216
9530087276
10229640334
11108698200
1264aa5866
1338764671
14226da250
15152618a9
hexdb0088e

229640334 has 96 divisors (see below), whose sum is σ = 585795840. Its totient is φ = 58734720.

The previous prime is 229640329. The next prime is 229640351. The reversal of 229640334 is 433046922.

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

It is a junction number, because it is equal to n+sod(n) for n = 229640295 and 229640304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 370677 + ... + 371295.

It is an arithmetic number, because the mean of its divisors is an integer number (6102040).

Almost surely, 2229640334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229640334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292897920).

229640334 is an abundant number, since it is smaller than the sum of its proper divisors (356155506).

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

229640334 is a wasteful number, since it uses less digits than its factorization.

229640334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 229640334 is about 15153.8884118895. Note that the first 3 decimals coincide. The cubic root of 229640334 is about 612.3730317966.

The spelling of 229640334 in words is "two hundred twenty-nine million, six hundred forty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 73 77 121 146 154 219 231 242 363 438 462 511 619 726 803 847 1022 1238 1533 1606 1694 1857 2409 2541 3066 3714 4333 4818 5082 5621 6809 8666 8833 11242 12999 13618 16863 17666 20427 25998 26499 33726 40854 45187 47663 52998 61831 74899 90374 95326 123662 135561 142989 149798 185493 224697 271122 285978 316309 370986 449394 497057 524293 632618 948927 994114 1048586 1491171 1572879 1897854 2982342 3145758 3479399 5467627 6958798 10438197 10935254 16402881 20876394 32805762 38273389 76546778 114820167 229640334