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229849830 = 23257615981
BaseRepresentation
bin11011011001100…
…11101011100110
3121000111120200200
431230303223212
5432320143310
634450251330
75460456060
oct1554635346
9530446620
10229849830
11108820641
1264b86b46
1338808b22
1422752730
15152a39c0
hexdb33ae6

229849830 has 96 divisors (see below), whose sum is σ = 694294848. Its totient is φ = 51667200.

The previous prime is 229849799. The next prime is 229849861. The reversal of 229849830 is 38948922.

It is an interprime number because it is at equal distance from previous prime (229849799) and next prime (229849861).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35440 + ... + 41420.

It is an arithmetic number, because the mean of its divisors is an integer number (7232238).

Almost surely, 2229849830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229849830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347147424).

229849830 is an abundant number, since it is smaller than the sum of its proper divisors (464445018).

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

229849830 is a wasteful number, since it uses less digits than its factorization.

229849830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6062 (or 6059 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 229849830 is about 15160.7991214184. The cubic root of 229849830 is about 612.5591935018.

The spelling of 229849830 in words is "two hundred twenty-nine million, eight hundred forty-nine thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 61 63 70 90 105 122 126 183 210 305 315 366 427 549 610 630 854 915 1098 1281 1830 2135 2562 2745 3843 4270 5490 5981 6405 7686 11962 12810 17943 19215 29905 35886 38430 41867 53829 59810 83734 89715 107658 125601 179430 209335 251202 269145 364841 376803 418670 538290 628005 729682 753606 1094523 1256010 1824205 1884015 2189046 2553887 3283569 3648410 3768030 5107774 5472615 6567138 7661661 10945230 12769435 15323322 16417845 22984983 25538870 32835690 38308305 45969966 76616610 114924915 229849830