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226129365 = 32572119323
BaseRepresentation
bin11010111101001…
…11010111010101
3120202111120011200
431132213113111
5430342114430
634234423113
75414032200
oct1536472725
9522446150
10226129365
1110670a380
1263891a99
1337b05577
1422064937
1514cbb460
hexd7a75d5

226129365 has 72 divisors (see below), whose sum is σ = 497454048. Its totient is φ = 93965760.

The previous prime is 226129357. The next prime is 226129367. The reversal of 226129365 is 563921622.

226129365 is a `hidden beast` number, since 2 + 2 + 612 + 9 + 36 + 5 = 666.

It is not a de Polignac number, because 226129365 - 23 = 226129357 is a prime.

It is a super-2 number, since 2×2261293652 = 102268979430606450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226129367) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19594 + ... + 28916.

It is an arithmetic number, because the mean of its divisors is an integer number (6909084).

Almost surely, 2226129365 is an apocalyptic number.

It is an amenable number.

226129365 is an abundant number, since it is smaller than the sum of its proper divisors (271324683).

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

226129365 is a wasteful number, since it uses less digits than its factorization.

226129365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9359 (or 9349 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 226129365 is about 15037.5983787306. The cubic root of 226129365 is about 609.2361351428.

It can be divided in two parts, 2261 and 29365, that added together give a triangular number (31626 = T251).

The spelling of 226129365 in words is "two hundred twenty-six million, one hundred twenty-nine thousand, three hundred sixty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 49 55 63 77 99 105 147 165 231 245 315 385 441 495 539 693 735 1155 1617 2205 2695 3465 4851 8085 9323 24255 27969 46615 65261 83907 102553 139845 195783 307659 326305 419535 456827 512765 587349 717871 922977 978915 1370481 1538295 2153613 2284135 2936745 3589355 4111443 4614885 5025097 6460839 6852405 10768065 15075291 20557215 25125485 32304195 45225873 75376455 226129365