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229716630 = 2325111321373
BaseRepresentation
bin11011011000100…
…11001010010110
3121000020210222100
431230103022112
5432301413010
634443342530
75456362533
oct1554231226
9530223870
10229716630
1110873a560
1264b21a46
1338790300
1422719d8a
15152792c0
hexdb13296

229716630 has 144 divisors (see below), whose sum is σ = 706049136. Its totient is φ = 51367680.

The previous prime is 229716629. The next prime is 229716649. The reversal of 229716630 is 36617922.

229716630 is a `hidden beast` number, since 2 + 2 + 9 + 7 + 16 + 630 = 666.

229716630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 166624 + ... + 167996.

It is an arithmetic number, because the mean of its divisors is an integer number (4903119).

Almost surely, 2229716630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229716630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353024568).

229716630 is an abundant number, since it is smaller than the sum of its proper divisors (476332506).

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

229716630 is a wasteful number, since it uses less digits than its factorization.

229716630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 229716630 is about 15156.4055765211. The cubic root of 229716630 is about 612.4408428219.

The spelling of 229716630 in words is "two hundred twenty-nine million, seven hundred sixteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 110 117 130 143 165 169 195 198 234 286 330 338 390 429 495 507 585 715 845 858 990 1014 1170 1287 1373 1430 1521 1690 1859 2145 2535 2574 2746 3042 3718 4119 4290 5070 5577 6435 6865 7605 8238 9295 11154 12357 12870 13730 15103 15210 16731 17849 18590 20595 24714 27885 30206 33462 35698 41190 45309 53547 55770 61785 75515 83655 89245 90618 107094 123570 135927 151030 160641 167310 178490 196339 226545 232037 267735 271854 321282 392678 453090 464074 535470 589017 679635 696111 803205 981695 1160185 1178034 1359270 1392222 1606410 1767051 1963390 2088333 2320370 2552407 2945085 3480555 3534102 4176666 5104814 5890170 6961110 7657221 8835255 10441665 12762035 15314442 17670510 20883330 22971663 25524070 38286105 45943326 76572210 114858315 229716630