Search a number
-
+
29350230 = 2357132827
BaseRepresentation
bin110111111110…
…1100101010110
32001020010221120
41233331211112
530003201410
62525024410
7504321120
oct157754526
961203846
1029350230
1115627298
1299b5106
136108300
143c80210
15289b570
hex1bfd956

29350230 has 96 divisors (see below), whose sum is σ = 87277824. Its totient is φ = 6185088.

The previous prime is 29350229. The next prime is 29350241. The reversal of 29350230 is 3205392.

It is a super-2 number, since 2×293502302 = 1722872002105800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29350230.

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, 35077 + ... + 35903.

It is an arithmetic number, because the mean of its divisors is an integer number (909144).

Almost surely, 229350230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29350230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43638912).

29350230 is an abundant number, since it is smaller than the sum of its proper divisors (57927594).

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

29350230 is a wasteful number, since it uses less digits than its factorization.

29350230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 29350230 is about 5417.5852554436. The cubic root of 29350230 is about 308.4635385478.

The spelling of 29350230 in words is "twenty-nine million, three hundred fifty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 169 182 195 210 273 338 390 455 507 546 827 845 910 1014 1183 1365 1654 1690 2366 2481 2535 2730 3549 4135 4962 5070 5789 5915 7098 8270 10751 11578 11830 12405 17367 17745 21502 24810 28945 32253 34734 35490 53755 57890 64506 75257 86835 107510 139763 150514 161265 173670 225771 279526 322530 376285 419289 451542 698815 752570 838578 978341 1128855 1397630 1956682 2096445 2257710 2935023 4192890 4891705 5870046 9783410 14675115 29350230