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229874238 = 2321117312203
BaseRepresentation
bin11011011001110…
…01101000111110
3121000112211011200
431230321220332
5432321433423
634451000330
75460620166
oct1554715076
9530484150
10229874238
11108837a10
1264b990a6
1338816c79
142275b5a6
15152aad43
hexdb39a3e

229874238 has 96 divisors (see below), whose sum is σ = 594127872. Its totient is φ = 63417600.

The previous prime is 229874233. The next prime is 229874243. The reversal of 229874238 is 832478922.

It is an interprime number because it is at equal distance from previous prime (229874233) and next prime (229874243).

It is a junction number, because it is equal to n+sod(n) for n = 229874193 and 229874202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229874231) by changing a digit.

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, 103245 + ... + 105447.

It is an arithmetic number, because the mean of its divisors is an integer number (6188832).

Almost surely, 2229874238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229874238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297063936).

229874238 is an abundant number, since it is smaller than the sum of its proper divisors (364253634).

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

229874238 is a wasteful number, since it uses less digits than its factorization.

229874238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2267 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 229874238 is about 15161.6040708099. The cubic root of 229874238 is about 612.5808755069.

It can be divided in two parts, 22987 and 4238, that added together give a square (27225 = 1652).

The spelling of 229874238 in words is "two hundred twenty-nine million, eight hundred seventy-four thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 11 17 18 22 31 33 34 51 62 66 93 99 102 153 186 187 198 279 306 341 374 527 558 561 682 1023 1054 1122 1581 1683 2046 2203 3069 3162 3366 4406 4743 5797 6138 6609 9486 11594 13218 17391 19827 24233 34782 37451 39654 48466 52173 68293 72699 74902 104346 112353 136586 145398 204879 218097 224706 337059 409758 411961 436194 614637 674118 751223 823922 1160981 1229274 1235883 1502446 2253669 2321962 2471766 3482943 3707649 4507338 6761007 6965886 7415298 10448829 12770791 13522014 20897658 25541582 38312373 76624746 114937119 229874238