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226671135840 = 25325157410511
BaseRepresentation
bin1101001100011010100…
…1110000110001100000
3210200002002201202201100
43103012221300301200
512203210302321330
6252044205034400
722243056602352
oct3230651606140
9720062652640
10226671135840
1188148a46326
1237b1b855a00
13184b4b36c66
14ad843990d2
155d69be8060
hex34c6a70c60

226671135840 has 72 divisors (see below), whose sum is σ = 773515255968. Its totient is φ = 60445635840.

The previous prime is 226671135773. The next prime is 226671135841. The reversal of 226671135840 is 48531176622.

226671135840 is a `hidden beast` number, since 2 + 2 + 6 + 67 + 1 + 1 + 3 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226671135841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78703816 + ... + 78706695.

It is an arithmetic number, because the mean of its divisors is an integer number (10743267444).

Almost surely, 2226671135840 is an apocalyptic number.

226671135840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226671135840 is an abundant number, since it is smaller than the sum of its proper divisors (546844120128).

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

226671135840 is a wasteful number, since it uses less digits than its factorization.

226671135840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157410532 (or 157410521 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 226671135840 in words is "two hundred twenty-six billion, six hundred seventy-one million, one hundred thirty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 157410511 314821022 472231533 629642044 787052555 944463066 1259284088 1416694599 1574105110 1888926132 2361157665 2518568176 2833389198 3148210220 3777852264 4722315330 5037136352 5666778396 6296420440 7083472995 7555704528 9444630660 11333556792 12592840880 14166945990 15111409056 18889261320 22667113584 25185681760 28333891980 37778522640 45334227168 56667783960 75557045280 113335567920 226671135840