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226454022756 = 2234131731102019
BaseRepresentation
bin1101001011100110110…
…1100010101001100100
3210122111222012021120000
43102321231202221210
512202234212212011
6252010451341300
722234512301533
oct3227155425144
9718458167500
10226454022756
1188047435025
1237a7abb1830
131847bb6a590
14ad6360031a
155d55b0d356
hex34b9b62a64

226454022756 has 240 divisors, whose sum is σ = 696817820160. Its totient is φ = 63463357440.

The previous prime is 226454022749. The next prime is 226454022757. The reversal of 226454022756 is 657220454622.

It is a happy number.

226454022756 is a `hidden beast` number, since 22 + 64 + 540 + 2 + 27 + 5 + 6 = 666.

226454022756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (226454022757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2168715 + ... + 2270733.

It is an arithmetic number, because the mean of its divisors is an integer number (2903407584).

Almost surely, 2226454022756 is an apocalyptic number.

226454022756 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226454022756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348408910080).

226454022756 is an abundant number, since it is smaller than the sum of its proper divisors (470363797404).

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

226454022756 is a wasteful number, since it uses less digits than its factorization.

226454022756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102096 (or 102085 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 226454022756 in words is "two hundred twenty-six billion, four hundred fifty-four million, twenty-two thousand, seven hundred fifty-six".