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224433132 = 22373114957
BaseRepresentation
bin11010110000010…
…01001111101100
3120122022101101020
431120021033230
5424423330012
634134214140
75363436000
oct1530111754
9518271336
10224433132
11105760a30
12631b4350
1337660491
1421b42700
1514a83a8c
hexd6093ec

224433132 has 96 divisors (see below), whose sum is σ = 666355200. Its totient is φ = 58282560.

The previous prime is 224433113. The next prime is 224433173. The reversal of 224433132 is 231334422.

224433132 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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, 42798 + ... + 47754.

It is an arithmetic number, because the mean of its divisors is an integer number (6941200).

Almost surely, 2224433132 is an apocalyptic number.

224433132 is a gapful number since it is divisible by the number (22) 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 224433132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333177600).

224433132 is an abundant number, since it is smaller than the sum of its proper divisors (441922068).

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

224433132 is a wasteful number, since it uses less digits than its factorization.

224433132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4996 (or 4980 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 224433132 is about 14981.0924835274. The cubic root of 224433132 is about 607.7089839688.

Adding to 224433132 its reverse (231334422), we get a palindrome (455767554).

The spelling of 224433132 in words is "two hundred twenty-four million, four hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 343 462 539 588 686 924 1029 1078 1372 1617 2058 2156 3234 3773 4116 4957 6468 7546 9914 11319 14871 15092 19828 22638 29742 34699 45276 54527 59484 69398 104097 109054 138796 163581 208194 218108 242893 327162 381689 416388 485786 654324 728679 763378 971572 1145067 1457358 1526756 1700251 2290134 2671823 2914716 3400502 4580268 5100753 5343646 6801004 8015469 10201506 10687292 16030938 18702761 20403012 32061876 37405522 56108283 74811044 112216566 224433132