Search a number
-
+
268450224 = 24372311367
BaseRepresentation
bin10000000000000…
…011100110110000
3200201010200110220
4100000003212300
51022210401344
642345453040
76436534500
oct2000034660
9621120426
10268450224
11128595699
1275aa1180
13438025b3
142791da00
151887ac19
hex100039b0

268450224 has 120 divisors (see below), whose sum is σ = 811519488. Its totient is φ = 76245120.

The previous prime is 268450211. The next prime is 268450241. The reversal of 268450224 is 422054862.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 731289 + ... + 731655.

Almost surely, 2268450224 is an apocalyptic number.

268450224 is a gapful number since it is divisible by the number (24) 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 268450224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405759744).

268450224 is an abundant number, since it is smaller than the sum of its proper divisors (543069264).

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

268450224 is a wasteful number, since it uses less digits than its factorization.

268450224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 268450224 is about 16384.4506773953. The cubic root of 268450224 is about 645.0914070323.

The spelling of 268450224 in words is "two hundred sixty-eight million, four hundred fifty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 311 336 367 392 588 622 734 784 933 1101 1176 1244 1468 1866 2177 2202 2352 2488 2569 2936 3732 4354 4404 4976 5138 5872 6531 7464 7707 8708 8808 10276 13062 14928 15239 15414 17416 17616 17983 20552 26124 30478 30828 34832 35966 41104 45717 52248 53949 60956 61656 71932 91434 104496 107898 114137 121912 123312 143864 182868 215796 228274 243824 287728 342411 365736 431592 456548 684822 731472 798959 863184 913096 1369644 1597918 1826192 2396877 2739288 3195836 4793754 5478576 5592713 6391672 9587508 11185426 12783344 16778139 19175016 22370852 33556278 38350032 44741704 67112556 89483408 134225112 268450224