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242303222325032 = 231123792831509971
BaseRepresentation
bin110111000101111110011101…
…011111101001111100101000
31011202220221222011201000112122
4313011332131133221330220
5223224343444403400112
62215200321425330412
7102015554505203501
oct6705763537517450
91152827864630478
10242303222325032
1170229246196a40
1223213ba2a96a08
13a5281326a38bb
1443b9777a4bba8
151d02ce22a5872
hexdc5f9d7e9f28

242303222325032 has 64 divisors (see below), whose sum is σ = 517175798607360. Its totient is φ = 105347828555200.

The previous prime is 242303222325011. The next prime is 242303222325061. The reversal of 242303222325032 is 230523222303242.

It is a junction number, because it is equal to n+sod(n) for n = 242303222324983 and 242303222325001.

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, 159713807 + ... + 161223777.

It is an arithmetic number, because the mean of its divisors is an integer number (8080871853240).

Almost surely, 2242303222325032 is an apocalyptic number.

242303222325032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

242303222325032 is an abundant number, since it is smaller than the sum of its proper divisors (274872576282328).

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

242303222325032 is a wasteful number, since it uses less digits than its factorization.

242303222325032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589294 (or 1589290 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 35.

Adding to 242303222325032 its reverse (230523222303242), we get a palindrome (472826444628274).

The spelling of 242303222325032 in words is "two hundred forty-two trillion, three hundred three billion, two hundred twenty-two million, three hundred twenty-five thousand, thirty-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 1012 2024 79283 158566 317132 634264 872113 1509971 1744226 1823509 3019942 3488452 3647018 6039884 6976904 7294036 12079768 14588072 16609681 20058599 33219362 34729333 40117198 66438724 69458666 80234396 132877448 138917332 160468792 277834664 382022663 764045326 1528090652 3056181304 119715030793 239430061586 478860123172 957720246344 1316865338723 2633730677446 2753445708239 5267461354892 5506891416478 10534922709784 11013782832956 22027565665912 30287902790629 60575805581258 121151611162516 242303222325032