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226369872 = 24322516263
BaseRepresentation
bin11010111111000…
…10000101010000
3120202221210002100
431133202011100
5430422313442
634243520400
75416053321
oct1537420520
9522853070
10226369872
11106864043
1263989100
1337b8ab91
14220c8448
1514d1784c
hexd7e2150

226369872 has 60 divisors (see below), whose sum is σ = 636146784. Its totient is φ = 75144000.

The previous prime is 226369867. The next prime is 226369877. The reversal of 226369872 is 278963622.

226369872 is a `hidden beast` number, since 2 + 2 + 636 + 9 + 8 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (226369867) and next prime (226369877).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226369877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33013 + ... + 39275.

Almost surely, 2226369872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226369872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318073392).

226369872 is an abundant number, since it is smaller than the sum of its proper divisors (409776912).

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

226369872 is a wasteful number, since it uses less digits than its factorization.

226369872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6528 (or 6519 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 226369872 is about 15045.5931089472. The cubic root of 226369872 is about 609.4520493659.

The spelling of 226369872 in words is "two hundred twenty-six million, three hundred sixty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 251 502 753 1004 1506 2008 2259 3012 4016 4518 6024 6263 9036 12048 12526 18072 18789 25052 36144 37578 50104 56367 75156 100208 112734 150312 225468 300624 450936 901872 1572013 3144026 4716039 6288052 9432078 12576104 14148117 18864156 25152208 28296234 37728312 56592468 75456624 113184936 226369872