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226763013396 = 2231723316723269
BaseRepresentation
bin1101001100110000100…
…0001111110100010100
3210200022111121122000210
43103030020033310110
512203402312412041
6252101250205420
722245253545063
oct3231410176424
9720274548023
10226763013396
118819589a297
1237b46583870
13184cab9568a
14ad926741da
155d72ce6016
hex34cc20fd14

226763013396 has 192 divisors, whose sum is σ = 612487249920. Its totient is φ = 64867461120.

The previous prime is 226763013391. The next prime is 226763013401. The reversal of 226763013396 is 693310367622.

226763013396 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226763013391) and next prime (226763013401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226763013391) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 9733650 + ... + 9756918.

It is an arithmetic number, because the mean of its divisors is an integer number (3190037760).

Almost surely, 2226763013396 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 226763013396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306243624960).

226763013396 is an abundant number, since it is smaller than the sum of its proper divisors (385724236524).

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

226763013396 is a wasteful number, since it uses less digits than its factorization.

226763013396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23414 (or 23412 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 48.

The spelling of 226763013396 in words is "two hundred twenty-six billion, seven hundred sixty-three million, thirteen thousand, three hundred ninety-six".