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226398914676 = 2233113114094363
BaseRepresentation
bin1101001011011001101…
…1010100100001110100
3210122101010111111111000
43102312123110201310
512202131110232201
6252001202243300
722233243010554
oct3226633244164
9718333444430
10226398914676
1188019315560
1237a64656530
131847061414c
14ad5a177164
155d50d74d86
hex34b66d4874

226398914676 has 192 divisors, whose sum is σ = 661596364800. Its totient is φ = 66330316800.

The previous prime is 226398914663. The next prime is 226398914737. The reversal of 226398914676 is 676419893622.

226398914676 is a `hidden beast` number, since 22 + 63 + 9 + 8 + 91 + 467 + 6 = 666.

226398914676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 51888471 + ... + 51892833.

It is an arithmetic number, because the mean of its divisors is an integer number (3445814400).

Almost surely, 2226398914676 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 226398914676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330798182400).

226398914676 is an abundant number, since it is smaller than the sum of its proper divisors (435197450124).

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

226398914676 is a wasteful number, since it uses less digits than its factorization.

226398914676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5827 (or 5819 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 226398914676 in words is "two hundred twenty-six billion, three hundred ninety-eight million, nine hundred fourteen thousand, six hundred seventy-six".