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114302222340 = 223525112915879
BaseRepresentation
bin110101001110011110…
…0011000000000000100
3101221000220210111221020
41222130330120000010
53333042332103330
6124302033151140
711154341600505
oct1523474300004
9357026714836
10114302222340
1144525696469
121a19b6bb4b0
13aa17916ab7
145764728bac
152e8eb6a210
hex1a9cf18004

114302222340 has 96 divisors (see below), whose sum is σ = 321624898560. Its totient is φ = 30330480000.

The previous prime is 114302222327. The next prime is 114302222399. The reversal of 114302222340 is 43222203411.

It is a happy number.

114302222340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 114302222340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19439521 + ... + 19445399.

It is an arithmetic number, because the mean of its divisors is an integer number (3350259360).

Almost surely, 2114302222340 is an apocalyptic number.

114302222340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114302222340 is an abundant number, since it is smaller than the sum of its proper divisors (207322676220).

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

114302222340 is a wasteful number, since it uses less digits than its factorization.

114302222340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7433 (or 7431 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 114302222340 its reverse (43222203411), we get a palindrome (157524425751).

The spelling of 114302222340 in words is "one hundred fourteen billion, three hundred two million, two hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 251 502 753 1004 1255 1291 1506 2510 2582 3012 3765 3873 5020 5164 5879 6455 7530 7746 11758 12910 15060 15492 17637 19365 23516 25820 29395 35274 38730 58790 70548 77460 88185 117580 176370 324041 352740 648082 972123 1296164 1475629 1620205 1944246 2951258 3240410 3888492 4426887 4860615 5902516 6480820 7378145 7589789 8853774 9721230 14756290 15179578 17707548 19442460 22134435 22769367 29512580 30359156 37948945 44268870 45538734 75897890 88537740 91077468 113846835 151795780 227693670 455387340 1905037039 3810074078 5715111117 7620148156 9525185195 11430222234 19050370390 22860444468 28575555585 38100740780 57151111170 114302222340