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226344278016 = 2113329191739
BaseRepresentation
bin1101001011001100101…
…0111001100000000000
3210122020022200200002000
43102303022321200000
512202023113344031
6251551531224000
722232010422163
oct3226312714000
9718208620060
10226344278016
1187aa049819a
1237a4a2a8000
13184621c446c
14ad52bd3ada
155d4b1813e6
hex34b32b9800

226344278016 has 384 divisors, whose sum is σ = 698181120000. Its totient is φ = 72366981120.

The previous prime is 226344278011. The next prime is 226344278033. The reversal of 226344278016 is 610872443622.

It is a happy number.

226344278016 is a `hidden beast` number, since 2 + 2 + 634 + 4 + 2 + 7 + 8 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226344278011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306284175 + ... + 306284913.

It is an arithmetic number, because the mean of its divisors is an integer number (1818180000).

Almost surely, 2226344278016 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 226344278016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349090560000).

226344278016 is an abundant number, since it is smaller than the sum of its proper divisors (471836841984).

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

226344278016 is a wasteful number, since it uses less digits than its factorization.

226344278016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 226344278016 in words is "two hundred twenty-six billion, three hundred forty-four million, two hundred seventy-eight thousand, sixteen".