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223115352154401 = 37971777358317203
BaseRepresentation
bin110010101110110000010111…
…010011110010000100100001
31002020222121201111210102122010
4302232300113103302010201
5213221010220122420101
62110305440000103133
764665360263620620
oct6256602723620441
91066877644712563
10223115352154401
116510076475aa73
1221035300004aa9
1397658c2389c75
143d14baaacb6b7
151abdb2057a2d6
hexcaec174f2121

223115352154401 has 64 divisors (see below), whose sum is σ = 343799503781888. Its totient is φ = 126066578300928.

The previous prime is 223115352154397. The next prime is 223115352154433. The reversal of 223115352154401 is 104451253511322.

It is not a de Polignac number, because 223115352154401 - 22 = 223115352154397 is a prime.

It is a super-3 number, since 3×2231153521544013 (a number of 44 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 223115352154401.

It is not an unprimeable number, because it can be changed into a prime (223115352154001) 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, 12969552066 + ... + 12969569268.

It is an arithmetic number, because the mean of its divisors is an integer number (5371867246592).

Almost surely, 2223115352154401 is an apocalyptic number.

223115352154401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

223115352154401 is a deficient number, since it is larger than the sum of its proper divisors (120684151627487).

223115352154401 is a wasteful number, since it uses less digits than its factorization.

223115352154401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22670.

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 223115352154401 in words is "two hundred twenty-three trillion, one hundred fifteen billion, three hundred fifty-two million, one hundred fifty-four thousand, four hundred one".

Divisors: 1 3 7 21 97 291 679 1777 2037 3583 5331 10749 12439 17203 25081 37317 51609 75243 120421 172369 347551 361263 517107 1042653 1206583 1668691 2432857 3619749 5006073 6366991 7298571 11680837 19100973 30569731 35042511 44568937 61638349 91709193 133706811 184915047 213988117 431468443 617598127 641964351 1294405329 1852794381 2965263907 4323186889 5978919853 8895791721 12969560667 17936759559 20756847349 41852438971 62270542047 109531346173 125557316913 328594038519 766719423211 2300158269633 10624540578781 31873621736343 74371784051467 223115352154401