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226463601004125 = 353107149332311399
BaseRepresentation
bin110011011111011110101010…
…011111100000111001011101
31002200211201010201201020212120
4303133132222133200321131
5214140334423324113000
62121351535253053153
765462312101352622
oct6337365237407135
91080751121636776
10226463601004125
1166181745966961
12214961b59271b9
13994956ca40094
143dccc7aa58349
151b2ac882186a0
hexcdf7aa7e0e5d

226463601004125 has 128 divisors (see below), whose sum is σ = 383058823680000. Its totient is φ = 118802575865600.

The previous prime is 226463601004099. The next prime is 226463601004181. The reversal of 226463601004125 is 521400106364622.

It is a happy number.

It is not a de Polignac number, because 226463601004125 - 218 = 226463600741981 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19866965176 + ... + 19866976574.

It is an arithmetic number, because the mean of its divisors is an integer number (2992647060000).

Almost surely, 2226463601004125 is an apocalyptic number.

226463601004125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

226463601004125 is a deficient number, since it is larger than the sum of its proper divisors (156595222675875).

226463601004125 is a wasteful number, since it uses less digits than its factorization.

226463601004125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14996 (or 14986 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

Adding to 226463601004125 its reverse (521400106364622), we get a palindrome (747863707368747).

The spelling of 226463601004125 in words is "two hundred twenty-six trillion, four hundred sixty-three billion, six hundred one million, four thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 75 107 125 149 321 375 447 535 745 1605 2235 2675 3323 3725 8025 9969 11175 11399 13375 15943 16615 18625 34197 40125 47829 49845 55875 56995 79715 83075 170985 239145 249225 284975 355561 398575 415375 495127 854925 1066683 1195725 1219693 1246125 1424875 1485381 1698451 1777805 1992875 2475635 3659079 4274625 5095353 5333415 5978625 6098465 7426905 8492255 8889025 12378175 18295395 25476765 26667075 30492325 37134525 37878877 42461275 44445125 52978589 61890875 91476975 113636631 127383825 133335375 152461625 158935767 181734257 185672625 189394385 212306375 264892945 457384875 545202771 568183155 636919125 794678835 908671285 946971925 1324464725 2726013855 2840915775 3973394175 4053039839 4543356425 4734859625 5643952673 6622323625 12159119517 13630069275 14204578875 16931858019 19866970875 20265199195 22716782125 28219763365 60795597585 68150346375 84659290095 101325995975 141098816825 303977987925 423296450475 506629979875 603902936011 705494084125 1519889939625 1811708808033 2116482252375 3019514680055 9058544040165 15097573400275 45292720200825 75487867001375 226463601004125