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226142751527343 = 327223915439103841
BaseRepresentation
bin110011011010110011110110…
…010111111001000110101111
31002122201000222011211001210200
4303122303312113321012233
5214120110323342333333
62120544313523204543
765430163124661540
oct6332636627710657
91078630864731720
10226142751527343
1166068669787112
1221443b91b16753
13992522954c781
143dbb5208a64c7
151b2275a441c13
hexcdacf65f91af

226142751527343 has 48 divisors (see below), whose sum is σ = 373509539020800. Its totient is φ = 129157104130560.

The previous prime is 226142751527317. The next prime is 226142751527347. The reversal of 226142751527343 is 343725157241622.

226142751527343 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 4 + 2 + 75 + 1 + 527 + 3 + 43 = 666.

It is not a de Polignac number, because 226142751527343 - 210 = 226142751526319 is a prime.

It is a super-2 number, since 2×2261427515273432 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 226142751527343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226142751527347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2177727103 + ... + 2177830943.

It is an arithmetic number, because the mean of its divisors is an integer number (7781448729600).

Almost surely, 2226142751527343 is an apocalyptic number.

226142751527343 is a deficient number, since it is larger than the sum of its proper divisors (147366787493457).

226142751527343 is a wasteful number, since it uses less digits than its factorization.

226142751527343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121532 (or 121529 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 54.

The spelling of 226142751527343 in words is "two hundred twenty-six trillion, one hundred forty-two billion, seven hundred fifty-one million, five hundred twenty-seven thousand, three hundred forty-three".

Divisors: 1 3 7 9 21 63 2239 6717 15439 15673 20151 46317 47019 103841 108073 138951 141057 311523 324219 726887 934569 972657 2180661 6541983 34567921 103703763 232499999 241975447 311111289 697499997 725926341 1603201199 1627499993 2092499991 2177779023 4809603597 4882499979 11222408393 14428810791 14647499937 33667225179 101001675537 3589567484561 10768702453683 25126972391927 32306107361049 75380917175781 226142751527343