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225735037340046 = 2313173112743240433
BaseRepresentation
bin110011010100111000001000…
…101101101100100110001110
31002121021001120212122101020020
4303110320020231230212032
5214041420324024340141
62120033124453203010
765355550442400543
oct6324701055544616
91077231525571206
10225735037340046
1165a20767750713
1221398b67330466
1398c595196c680
143da58c3d98bca
151b16d466a8266
hexcd4e08b6c98e

225735037340046 has 128 divisors (see below), whose sum is σ = 535589160615936. Its totient is φ = 62764351856640.

The previous prime is 225735037340023. The next prime is 225735037340047. The reversal of 225735037340046 is 640043730537522.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225735037340047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16399755 + ... + 26840678.

It is an arithmetic number, because the mean of its divisors is an integer number (4184290317312).

Almost surely, 2225735037340046 is an apocalyptic number.

225735037340046 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

225735037340046 is an abundant number, since it is smaller than the sum of its proper divisors (309854123275890).

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

225735037340046 is a wasteful number, since it uses less digits than its factorization.

225735037340046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43240626.

The product of its (nonzero) digits is 12700800, while the sum is 51.

Adding to 225735037340046 its reverse (640043730537522), we get a palindrome (865778767877568).

The spelling of 225735037340046 in words is "two hundred twenty-five trillion, seven hundred thirty-five billion, thirty-seven million, three hundred forty thousand, forty-six".

Divisors: 1 2 3 6 13 17 26 31 34 39 51 62 78 93 102 127 186 221 254 381 403 442 527 663 762 806 1054 1209 1326 1581 1651 2159 2418 3162 3302 3937 4318 4953 6477 6851 7874 9906 11811 12954 13702 20553 23622 28067 41106 51181 56134 66929 84201 102362 133858 153543 168402 200787 307086 401574 870077 1740154 2610231 5220462 43240433 86480866 129721299 259442598 562125629 735087361 1124251258 1340453423 1470174722 1686376887 2205262083 2680906846 3372753774 4021360269 4410524166 5491534991 8042720538 9556135693 10983069982 16474604973 17425894499 19112271386 22787708191 28668407079 32949209946 34851788998 45575416382 52277683497 57336814158 68363124573 71389954883 93356094847 104555366994 136726249146 142779909766 170237584721 186712189694 214169864649 280068284541 296240206483 340475169442 428339729298 510712754163 560136569082 592480412966 888720619449 1021425508326 1213629233011 1777441238898 2213088601373 2427258466022 2894038940257 3640887699033 4426177202746 5788077880514 6639265804119 7281775398066 8682116820771 13278531608238 17364233641542 37622506223341 75245012446682 112867518670023 225735037340046