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224131242330 = 23253160778791
BaseRepresentation
bin1101000010111101000…
…0110101100101011010
3210102112002110210211100
43100233100311211122
512133010044223310
6250544154212230
722123116061122
oct3205720654532
9712462423740
10224131242330
1187065274786
1237531124076
131819b87a5a8
14abc2d21c82
155c6bc3bec0
hex342f43595a

224131242330 has 48 divisors (see below), whose sum is σ = 582767063424. Its totient is φ = 59765681760.

The previous prime is 224131242323. The next prime is 224131242371. The reversal of 224131242330 is 33242131422.

224131242330 is a `hidden beast` number, since 2 + 2 + 413 + 1 + 242 + 3 + 3 + 0 = 666.

224131242330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 224131242294 and 224131242303.

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 23 ways as a sum of consecutive naturals, for example, 2805235 + ... + 2884025.

It is an arithmetic number, because the mean of its divisors is an integer number (12140980488).

Almost surely, 2224131242330 is an apocalyptic number.

224131242330 is an abundant number, since it is smaller than the sum of its proper divisors (358635821094).

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

224131242330 is a wasteful number, since it uses less digits than its factorization.

224131242330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110411 (or 110408 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 224131242330 its reverse (33242131422), we get a palindrome (257373373752).

The spelling of 224131242330 in words is "two hundred twenty-four billion, one hundred thirty-one million, two hundred forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 31607 63214 78791 94821 157582 158035 189642 236373 284463 316070 393955 472746 474105 568926 709119 787910 948210 1181865 1418238 1422315 2363730 2844630 3545595 7091190 2490347137 4980694274 7471041411 12451735685 14942082822 22413124233 24903471370 37355207055 44826248466 74710414110 112065621165 224131242330