Search a number
-
+
229245360 = 243579107113
BaseRepresentation
bin11011010101000…
…00000110110000
3120222100212111220
431222200012300
5432141322420
634425305040
75452360551
oct1552400660
9528325456
10229245360
11108448483
1264935180
1338656956
1422636328
15151d4840
hexdaa01b0

229245360 has 160 divisors (see below), whose sum is σ = 732810240. Its totient is φ = 59265024.

The previous prime is 229245329. The next prime is 229245371. The reversal of 229245360 is 63542922.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2028664 + ... + 2028776.

It is an arithmetic number, because the mean of its divisors is an integer number (4580064).

Almost surely, 2229245360 is an apocalyptic number.

229245360 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 229245360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366405120).

229245360 is an abundant number, since it is smaller than the sum of its proper divisors (503564880).

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

229245360 is a wasteful number, since it uses less digits than its factorization.

229245360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 229245360 is about 15140.8507026521. The cubic root of 229245360 is about 612.0217430013.

The spelling of 229245360 in words is "two hundred twenty-nine million, two hundred forty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 107 113 120 158 214 226 237 240 316 321 339 395 428 452 474 535 565 632 642 678 790 856 904 948 1070 1130 1185 1264 1284 1356 1580 1605 1695 1712 1808 1896 2140 2260 2370 2568 2712 3160 3210 3390 3792 4280 4520 4740 5136 5424 6320 6420 6780 8453 8560 8927 9040 9480 12091 12840 13560 16906 17854 18960 24182 25359 25680 26781 27120 33812 35708 36273 42265 44635 48364 50718 53562 60455 67624 71416 72546 84530 89270 96728 101436 107124 120910 126795 133905 135248 142832 145092 169060 178540 181365 193456 202872 214248 241820 253590 267810 290184 338120 357080 362730 405744 428496 483640 507180 535620 580368 676240 714160 725460 955189 967280 1014360 1071240 1450920 1910378 2028720 2142480 2865567 2901840 3820756 4775945 5731134 7641512 9551890 11462268 14327835 15283024 19103780 22924536 28655670 38207560 45849072 57311340 76415120 114622680 229245360