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224874321232 = 241113138925073
BaseRepresentation
bin1101000101101110001…
…1011101010101010000
3210111102212201010110011
43101123203131111100
512141020311234412
6251150021044304
722150411122661
oct3213343352520
9714385633404
10224874321232
1187406767980
12376b9b56694
13182897c0a52
14ac538b1368
155cb20bd7a7
hex345b8dd550

224874321232 has 80 divisors (see below), whose sum is σ = 480181141440. Its totient is φ = 101170534400.

The previous prime is 224874321179. The next prime is 224874321241. The reversal of 224874321232 is 232123478422.

224874321232 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8956248 + ... + 8981320.

It is an arithmetic number, because the mean of its divisors is an integer number (6002264268).

Almost surely, 2224874321232 is an apocalyptic number.

224874321232 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 224874321232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240090570720).

224874321232 is an abundant number, since it is smaller than the sum of its proper divisors (255306820208).

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

224874321232 is a wasteful number, since it uses less digits than its factorization.

224874321232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25612 (or 25606 counting only the distinct ones).

The product of its digits is 258048, while the sum is 40.

Adding to 224874321232 its reverse (232123478422), we get a palindrome (456997799654).

The spelling of 224874321232 in words is "two hundred twenty-four billion, eight hundred seventy-four million, three hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 131 176 262 389 524 778 1048 1441 1556 2096 2882 3112 4279 5764 6224 8558 11528 17116 23056 25073 34232 50146 50959 68464 100292 101918 200584 203836 275803 401168 407672 551606 560549 815344 1103212 1121098 2206424 2242196 3284563 4412848 4484392 6569126 8968784 9753397 13138252 19506794 26276504 36130193 39013588 52553008 72260386 78027176 107287367 144520772 156054352 214574734 289041544 429149468 578083088 858298936 1277695007 1716597872 2555390014 5110780028 10221560056 14054645077 20443120112 28109290154 56218580308 112437160616 224874321232