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224201012344340 = 225223317158578187
BaseRepresentation
bin110010111110100011011101…
…101100101111011000010100
31002101211102000000222101000112
4302332203131230233120110
5213341302133130004330
62112500305001502152
765136663043153013
oct6276433554573024
91071742000871015
10224201012344340
116548a12a618469
122118b7a94a1958
1398140ac32a315
143d5155b904a7a
151adbeb2173795
hexcbe8ddb2f614

224201012344340 has 48 divisors (see below), whose sum is σ = 474425342479872. Its totient is φ = 88996615234176.

The previous prime is 224201012344333. The next prime is 224201012344381. The reversal of 224201012344340 is 43443210102422.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 224201012344297 and 224201012344306.

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, 77875274 + ... + 80702913.

It is an arithmetic number, because the mean of its divisors is an integer number (9883861301664).

Almost surely, 2224201012344340 is an apocalyptic number.

224201012344340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224201012344340 is an abundant number, since it is smaller than the sum of its proper divisors (250224330135532).

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

224201012344340 is a wasteful number, since it uses less digits than its factorization.

224201012344340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158578736 (or 158578734 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 224201012344340 its reverse (43443210102422), we get a palindrome (267644222446762).

The spelling of 224201012344340 in words is "two hundred twenty-four trillion, two hundred one billion, twelve million, three hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 223 317 446 634 892 1115 1268 1585 2230 3170 4460 6340 70691 141382 282764 353455 706910 1413820 158578187 317156374 634312748 792890935 1585781870 3171563740 35362935701 50269285279 70725871402 100538570558 141451742804 176814678505 201077141116 251346426395 353629357010 502692852790 707258714020 1005385705580 11210050617217 22420101234434 44840202468868 56050253086085 112100506172170 224201012344340