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224114012332 = 227175717091163
BaseRepresentation
bin1101000010111000111…
…1000111000010101100
3210102110220001102201021
43100232033013002230
512132441141343312
6250542341023524
722122516446650
oct3205617070254
9712426042637
10224114012332
1187056576611
12375273b4ba4
1318198126c22
14abc0918a60
155c6a486c07
hex342e3c70ac

224114012332 has 96 divisors (see below), whose sum is σ = 476505469440. Its totient is φ = 90035850240.

The previous prime is 224114012267. The next prime is 224114012357. The reversal of 224114012332 is 233210411422.

It is a junction number, because it is equal to n+sod(n) for n = 224114012297 and 224114012306.

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, 192702783 + ... + 192703945.

It is an arithmetic number, because the mean of its divisors is an integer number (4963598640).

Almost surely, 2224114012332 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 224114012332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238252734720).

224114012332 is an abundant number, since it is smaller than the sum of its proper divisors (252391457108).

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

224114012332 is a wasteful number, since it uses less digits than its factorization.

224114012332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 224114012332 its reverse (233210411422), we get a palindrome (457324423754).

The spelling of 224114012332 in words is "two hundred twenty-four billion, one hundred fourteen million, twelve thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 571 709 1142 1163 1418 2284 2326 2836 3997 4652 4963 7994 8141 9707 9926 12053 15988 16282 19414 19771 19852 24106 32564 38828 39542 48212 67949 79084 84371 135898 138397 168742 271796 276794 337484 404839 553588 664073 809678 824567 1328146 1619356 1649134 2656292 2833873 3298268 4648511 5667746 5771969 6882263 9297022 11289241 11335492 11543938 13764526 14017639 18594044 22578482 23087876 27529052 28035278 45156964 48175841 56070556 79024687 96351682 98123473 158049374 192703364 196246946 316098748 392493892 470827757 941655514 1883311028 3295794299 6591588598 8004071869 13183177196 16008143738 32016287476 56028503083 112057006166 224114012332