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224744868 = 2237231117
BaseRepresentation
bin11010110010101…
…01010110100100
3120122220020000000
431121111112210
5430013313433
634145021300
75366204565
oct1531252644
9518806000
10224744868
11105954167
1263324830
133773c33a
1421bc416c
1514ae6113
hexd6555a4

224744868 has 96 divisors (see below), whose sum is σ = 616062720. Its totient is φ = 71593632.

The previous prime is 224744837. The next prime is 224744873. The reversal of 224744868 is 868447422.

224744868 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 31 ways as a sum of consecutive naturals, for example, 200646 + ... + 201762.

It is an arithmetic number, because the mean of its divisors is an integer number (6417320).

Almost surely, 2224744868 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 224744868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308031360).

224744868 is an abundant number, since it is smaller than the sum of its proper divisors (391317852).

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

224744868 is a wasteful number, since it uses less digits than its factorization.

224744868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1145 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 224744868 is about 14991.4931878049. The cubic root of 224744868 is about 607.9902215937.

The spelling of 224744868 in words is "two hundred twenty-four million, seven hundred forty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 324 414 486 621 729 828 972 1117 1242 1458 1863 2187 2234 2484 2916 3351 3726 4374 4468 5589 6702 7452 8748 10053 11178 13404 16767 20106 22356 25691 30159 33534 40212 50301 51382 60318 67068 77073 90477 100602 102764 120636 154146 180954 201204 231219 271431 308292 361908 462438 542862 693657 814293 924876 1085724 1387314 1628586 2080971 2442879 2774628 3257172 4161942 4885758 6242913 8323884 9771516 12485826 18728739 24971652 37457478 56186217 74914956 112372434 224744868