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224342340024 = 233117910756729
BaseRepresentation
bin1101000011101111011…
…0000111000110111000
3210110001210200200102110
43100323312013012320
512133423114340044
6251021134532320
722131261266235
oct3207366070670
9713053620373
10224342340024
1187163447590
123758b9670a0
131820351bc7a
14ac02d9278c
155c805396b9
hex343bd871b8

224342340024 has 64 divisors (see below), whose sum is σ = 619587648000. Its totient is φ = 67121982720.

The previous prime is 224342339971. The next prime is 224342340043. The reversal of 224342340024 is 420043243422.

It is a junction number, because it is equal to n+sod(n) for n = 224342339973 and 224342340000.

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, 5357509 + ... + 5399220.

It is an arithmetic number, because the mean of its divisors is an integer number (9681057000).

Almost surely, 2224342340024 is an apocalyptic number.

224342340024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224342340024 is an abundant number, since it is smaller than the sum of its proper divisors (395245307976).

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

224342340024 is a wasteful number, since it uses less digits than its factorization.

224342340024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10756828 (or 10756824 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 224342340024 its reverse (420043243422), we get a palindrome (644385583446).

The spelling of 224342340024 in words is "two hundred twenty-four billion, three hundred forty-two million, three hundred forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 132 158 237 264 316 474 632 869 948 1738 1896 2607 3476 5214 6952 10428 20856 10756729 21513458 32270187 43026916 64540374 86053832 118324019 129080748 236648038 258161496 354972057 473296076 709944114 849781591 946592152 1419888228 1699563182 2549344773 2839776456 3399126364 5098689546 6798252728 9347597501 10197379092 18695195002 20394758184 28042792503 37390390004 56085585006 74780780008 112171170012 224342340024