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225236442302304 = 25343223244677541
BaseRepresentation
bin110011001101100111110010…
…001000100100011101100000
31002112111101121221010010212220
4303031213302020210131200
5214010233213212133204
62115012105415151040
765304540003452106
oct6315476210443540
91075441557103786
10225236442302304
1165849269861154
12213183b8975480
13988a922919c14
143d897055b9c76
151b08db409a1d9
hexccd9f2224760

225236442302304 has 96 divisors (see below), whose sum is σ = 607708547195904. Its totient is φ = 73003948254720.

The previous prime is 225236442302303. The next prime is 225236442302323. The reversal of 225236442302304 is 403203244632522.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2252364423023042 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225236442302303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121418227 + ... + 123259314.

It is an arithmetic number, because the mean of its divisors is an integer number (6330297366624).

Almost surely, 2225236442302304 is an apocalyptic number.

225236442302304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225236442302304 is an abundant number, since it is smaller than the sum of its proper divisors (382472104893600).

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

225236442302304 is a wasteful number, since it uses less digits than its factorization.

225236442302304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244677820 (or 244677812 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 42.

Adding to 225236442302304 its reverse (403203244632522), we get a palindrome (628439686934826).

The spelling of 225236442302304 in words is "two hundred twenty-five trillion, two hundred thirty-six billion, four hundred forty-two million, three hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 223 258 344 446 516 669 688 892 1032 1338 1376 1784 2064 2676 3568 4128 5352 7136 9589 10704 19178 21408 28767 38356 57534 76712 115068 153424 230136 306848 460272 920544 244677541 489355082 734032623 978710164 1468065246 1957420328 2936130492 3914840656 5872260984 7829681312 10521134263 11744521968 21042268526 23489043936 31563402789 42084537052 54563091643 63126805578 84169074104 109126183286 126253611156 163689274929 168338148208 218252366572 252507222312 327378549858 336676296416 436504733144 505014444624 654757099716 873009466288 1010028889248 1309514199432 1746018932576 2346212940649 2619028398864 4692425881298 5238056797728 7038638821947 9384851762596 14077277643894 18769703525192 28154555287788 37539407050384 56309110575576 75078814100768 112618221151152 225236442302304