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225311445244221 = 37231394342777279
BaseRepresentation
bin110011001110101101101000…
…101010000101100100111101
31002112202120020000101100212120
4303032231220222011210331
5214013000314440303341
62115110352104353153
765313133440111210
oct6316555052054475
91075676200340776
10225311445244221
1165878057a8a566
122132aa4b1757b9
139894a166b321b
143d8d1bc81b777
151b0ad039e4066
hexcceb68a8593d

225311445244221 has 64 divisors (see below), whose sum is σ = 360849575116800. Its totient is φ = 122261217160896.

The previous prime is 225311445244211. The next prime is 225311445244247. The reversal of 225311445244221 is 122442544113522.

It is not a de Polignac number, because 225311445244221 - 211 = 225311445242173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225311445244201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2915519860 + ... + 2915597138.

It is an arithmetic number, because the mean of its divisors is an integer number (5638274611200).

Almost surely, 2225311445244221 is an apocalyptic number.

225311445244221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

225311445244221 is a deficient number, since it is larger than the sum of its proper divisors (135538129872579).

225311445244221 is a wasteful number, since it uses less digits than its factorization.

225311445244221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120878.

The product of its digits is 614400, while the sum is 42.

Adding to 225311445244221 its reverse (122442544113522), we get a palindrome (347753989357743).

The spelling of 225311445244221 in words is "two hundred twenty-five trillion, three hundred eleven billion, four hundred forty-five million, two hundred forty-four thousand, two hundred twenty-one".

Divisors: 1 3 7 21 23 69 139 161 417 483 973 2919 3197 9591 22379 43427 67137 77279 130281 231837 303989 540953 911967 998821 1622859 1777417 2996463 5332251 6036353 6991747 10741781 12441919 18109059 20975241 32225343 37325757 42254471 75192467 126763413 138836119 225577401 247060963 416508357 741182889 971852833 1729426741 2915558499 3355995133 5188280223 10067985399 23491965931 70475897793 77187888059 231563664177 466483323487 540315216413 1399449970461 1620945649239 3265383264409 9796149793227 10729116440201 32187349320603 75103815081407 225311445244221