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268042224 = 24344912437
BaseRepresentation
bin11111111100111…
…11111111110000
3200200100221210210
433332133333300
51022104322344
642333024120
76433215132
oct1776377760
9620327723
10268042224
111283370aa
1275925040
13436bb988
1427855052
15187e9db9
hexff9fff0

268042224 has 40 divisors (see below), whose sum is σ = 694040400. Its totient is φ = 89141248.

The previous prime is 268042217. The next prime is 268042241. The reversal of 268042224 is 422240862.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 268042191 and 268042200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15334 + ... + 27770.

It is an arithmetic number, because the mean of its divisors is an integer number (17351010).

Almost surely, 2268042224 is an apocalyptic number.

268042224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

268042224 is an abundant number, since it is smaller than the sum of its proper divisors (425998176).

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

268042224 is a wasteful number, since it uses less digits than its factorization.

268042224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12897 (or 12891 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 268042224 is about 16371.9951136079. The cubic root of 268042224 is about 644.7644305303.

The spelling of 268042224 in words is "two hundred sixty-eight million, forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 449 898 1347 1796 2694 3592 5388 7184 10776 12437 21552 24874 37311 49748 74622 99496 149244 198992 298488 596976 5584213 11168426 16752639 22336852 33505278 44673704 67010556 89347408 134021112 268042224