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229348020 = 2235111720441
BaseRepresentation
bin11011010101110…
…01001010110100
3120222120002100010
431222321022310
5432203114040
634431420220
75453266056
oct1552711264
9528502303
10229348020
11108508620
1264984670
13386915b5
14226618d6
1515204e80
hexdab92b4

229348020 has 96 divisors (see below), whose sum is σ = 741799296. Its totient is φ = 52326400.

The previous prime is 229347971. The next prime is 229348033. The reversal of 229348020 is 20843922.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 1000 + ... + 21440.

It is an arithmetic number, because the mean of its divisors is an integer number (7727076).

Almost surely, 2229348020 is an apocalyptic number.

229348020 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 229348020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370899648).

229348020 is an abundant number, since it is smaller than the sum of its proper divisors (512451276).

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

229348020 is a wasteful number, since it uses less digits than its factorization.

229348020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20481 (or 20479 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 229348020 is about 15144.2404893742. The cubic root of 229348020 is about 612.1130873083.

The spelling of 229348020 in words is "two hundred twenty-nine million, three hundred forty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 11220 20441 40882 61323 81764 102205 122646 204410 224851 245292 306615 347497 408820 449702 613230 674553 694994 899404 1042491 1124255 1226460 1349106 1389988 1737485 2084982 2248510 2698212 3372765 3474970 3822467 4169964 4497020 5212455 6745530 6949940 7644934 10424910 11467401 13491060 15289868 19112335 20849820 22934802 38224670 45869604 57337005 76449340 114674010 229348020