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224309806440 = 23352381271669
BaseRepresentation
bin1101000011100111101…
…0000000010101101000
3210102222112110210201220
43100321322000111220
512133341302301230
6251014013342040
722130414616156
oct3207172002550
9712875423656
10224309806440
1187147046625
1237580a97920
13181c986aa25
14abdc9243d6
155c7c75ed10
hex3439e80568

224309806440 has 64 divisors (see below), whose sum is σ = 702187228800. Its totient is φ = 57215254272.

The previous prime is 224309806403. The next prime is 224309806451. The reversal of 224309806440 is 44608903422.

It is a junction number, because it is equal to n+sod(n) for n = 224309806392 and 224309806401.

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, 40633075 + ... + 40638594.

It is an arithmetic number, because the mean of its divisors is an integer number (10971675450).

Almost surely, 2224309806440 is an apocalyptic number.

224309806440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224309806440 is an abundant number, since it is smaller than the sum of its proper divisors (477877422360).

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

224309806440 is a wasteful number, since it uses less digits than its factorization.

224309806440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81271706 (or 81271702 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 224309806440 in words is "two hundred twenty-four billion, three hundred nine million, eight hundred six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 81271669 162543338 243815007 325086676 406358345 487630014 650173352 812716690 975260028 1219075035 1625433380 1869248387 1950520056 2438150070 3250866760 3738496774 4876300140 5607745161 7476993548 9346241935 9752600280 11215490322 14953987096 18692483870 22430980644 28038725805 37384967740 44861961288 56077451610 74769935480 112154903220 224309806440