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228249296 = 24114147673
BaseRepresentation
bin11011001101011…
…00111011010000
3120220111021011122
431212230323100
5431412434141
634352101412
75441041562
oct1546547320
9526437148
10228249296
11107928090
1264534868
1338398472
1422457332
151508964b
hexd9aced0

228249296 has 80 divisors (see below), whose sum is σ = 505467648. Its totient is φ = 98918400.

The previous prime is 228249257. The next prime is 228249331. The reversal of 228249296 is 692942822.

It is a super-2 number, since 2×2282492962 = 104195482248991232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338816 + ... + 339488.

Almost surely, 2228249296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228249296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252733824).

228249296 is an abundant number, since it is smaller than the sum of its proper divisors (277218352).

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

228249296 is a wasteful number, since it uses less digits than its factorization.

228249296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 774 counting only the distinct ones).

The product of its digits is 248832, while the sum is 44.

The square root of 228249296 is about 15107.9216307208. The cubic root of 228249296 is about 611.1340509099.

The spelling of 228249296 in words is "two hundred twenty-eight million, two hundred forty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 41 44 47 82 88 94 164 176 188 328 376 451 517 656 673 752 902 1034 1346 1804 1927 2068 2692 3608 3854 4136 5384 7216 7403 7708 8272 10768 14806 15416 21197 27593 29612 30832 31631 42394 55186 59224 63262 84788 110372 118448 126524 169576 220744 253048 303523 339152 347941 441488 506096 607046 695882 1214092 1296871 1391764 2428184 2593742 2783528 4856368 5187484 5567056 10374968 14265581 20749936 28531162 57062324 114124648 228249296