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224131014234 = 23279157616747
BaseRepresentation
bin1101000010111100111…
…1111101111001011010
3210102112002001012221100
43100233033331321122
512133010014423414
6250544145252230
722123114121121
oct3205717757132
9712462035840
10224131014234
1187065129376
1237531034076
131819b7ca81a
14abc2ca2ab8
155c6bbe4609
hex342f3fde5a

224131014234 has 24 divisors (see below), whose sum is σ = 491764253760. Its totient is φ = 73764637128.

The previous prime is 224131014203. The next prime is 224131014269. The reversal of 224131014234 is 432410131422.

224131014234 is a `hidden beast` number, since 2 + 2 + 413 + 1 + 0 + 14 + 234 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 224131014198 and 224131014207.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78806952 + ... + 78809795.

It is an arithmetic number, because the mean of its divisors is an integer number (20490177240).

Almost surely, 2224131014234 is an apocalyptic number.

224131014234 is an abundant number, since it is smaller than the sum of its proper divisors (267633239526).

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

224131014234 is a wasteful number, since it uses less digits than its factorization.

224131014234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157616834 (or 157616831 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 224131014234 its reverse (432410131422), we get a palindrome (656541145656).

The spelling of 224131014234 in words is "two hundred twenty-four billion, one hundred thirty-one million, fourteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 79 158 237 474 711 1422 157616747 315233494 472850241 945700482 1418550723 2837101446 12451723013 24903446026 37355169039 74710338078 112065507117 224131014234