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226136226944 = 2710117491973
BaseRepresentation
bin1101001010011011000…
…1001111110010000000
3210121200211012120122202
43102212301033302000
512201111333230234
6251515140052332
722223603133245
oct3224661176200
9717624176582
10226136226944
11879a4006361
12379b06940a8
131842b07b714
14ad333175cc
155d37c8677e
hex34a6c4fc80

226136226944 has 32 divisors (see below), whose sum is σ = 454966243740. Its totient is φ = 111948620800.

The previous prime is 226136226937. The next prime is 226136226959. The reversal of 226136226944 is 449622631622.

It can be written as a sum of positive squares in 2 ways, for example, as 225731412544 + 404814400 = 475112^2 + 20120^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2261362269442 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8733059 + ... + 8758914.

Almost surely, 2226136226944 is an apocalyptic number.

It is an amenable number.

226136226944 is an abundant number, since it is smaller than the sum of its proper divisors (228830016796).

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

226136226944 is a wasteful number, since it uses less digits than its factorization.

226136226944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17492088 (or 17492076 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 47.

The spelling of 226136226944 in words is "two hundred twenty-six billion, one hundred thirty-six million, two hundred twenty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 808 1616 3232 6464 12928 17491973 34983946 69967892 139935784 279871568 559743136 1119486272 1766689273 2238972544 3533378546 7066757092 14133514184 28267028368 56534056736 113068113472 226136226944