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230225012226 = 232111771963341
BaseRepresentation
bin1101011001101001111…
…0101110011000000010
3211000020202222101121200
43112122132232120002
512233000100342401
6253433001002030
722430122213116
oct3263236563002
9730222871550
10230225012226
1189702021250
1238751a83316
13189301b81b1
14b20037d746
155ec6be8686
hex359a7ae602

230225012226 has 96 divisors (see below), whose sum is σ = 584293896576. Its totient is φ = 64736448000.

The previous prime is 230225012203. The next prime is 230225012231. The reversal of 230225012226 is 622210522032.

230225012226 is digitally balanced in base 2, 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 230225012226.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242685 + ... + 720656.

It is an arithmetic number, because the mean of its divisors is an integer number (6086394756).

Almost surely, 2230225012226 is an apocalyptic number.

230225012226 is an abundant number, since it is smaller than the sum of its proper divisors (354068884350).

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

230225012226 is a wasteful number, since it uses less digits than its factorization.

230225012226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963448 (or 963445 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 230225012226 its reverse (622210522032), we get a palindrome (852435534258).

It can be divided in two parts, 2302250 and 12226, that added together give a triangular number (2314476 = T2151).

The spelling of 230225012226 in words is "two hundred thirty billion, two hundred twenty-five million, twelve thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 71 99 102 142 153 187 198 213 306 374 426 561 639 781 1122 1207 1278 1562 1683 2343 2414 3366 3621 4686 7029 7242 10863 13277 14058 21726 26554 39831 79662 119493 238986 963341 1926682 2890023 5780046 8670069 10596751 16376797 17340138 21193502 31790253 32753594 49130391 63580506 68397211 95370759 98260782 136794422 147391173 180144767 190741518 205191633 294782346 360289534 410383266 540434301 615574899 752369321 1080868602 1162752587 1231149798 1504738642 1621302903 2257107963 2325505174 3242605806 3488257761 4514215926 6771323889 6976515522 10464773283 12790278457 13542647778 20929546566 25580556914 38370835371 76741670742 115112506113 230225012226