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230002222200032 = 2514959791806789
BaseRepresentation
bin110100010010111110010000…
…110000000111010011100000
31010011100222221022210021102102
4310102332100300013103200
5220121324022340400112
62133101321234105532
766306053323264232
oct6422762060072340
91104328838707372
10230002222200032
1167316438317157
1221967b7aa1b2a8
139b45168c03399
1440b224a18a252
151b8cd43ebcbc2
hexd12f90c074e0

230002222200032 has 48 divisors (see below), whose sum is σ = 455864103576000. Its totient is φ = 114227239503360.

The previous prime is 230002222200031. The next prime is 230002222200061.

230002222200032 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 230002222199977 and 230002222200013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230002222200031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284680094 + ... + 285486882.

It is an arithmetic number, because the mean of its divisors is an integer number (9497168824500).

Almost surely, 2230002222200032 is an apocalyptic number.

It is an amenable number.

230002222200032 is a deficient number, since it is larger than the sum of its proper divisors (225861881375968).

230002222200032 is a wasteful number, since it uses less digits than its factorization.

230002222200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866739 (or 866731 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The spelling of 230002222200032 in words is "two hundred thirty trillion, two billion, two hundred twenty-two million, two hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 32 149 298 596 1192 2384 4768 59791 119582 239164 478328 806789 956656 1613578 1913312 3227156 6454312 8908859 12908624 17817718 25817248 35635436 71270872 120211561 142541744 240423122 285083488 480846244 961692488 1923384976 3846769952 48238721099 96477442198 192954884396 385909768792 771819537584 1543639075168 7187569443751 14375138887502 28750277775004 57500555550008 115001111100016 230002222200032