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226098106650 = 234521319792861
BaseRepresentation
bin1101001010010001111…
…1110101000100011010
3210121121011110212110000
43102210133311010122
512201022103403100
6251511255033430
722222631124333
oct3224437650432
9717534425400
10226098106650
1187984539a89
123799b96b876
13184231c2630
14ad2c23328a
155d34756900
hex34a47f511a

226098106650 has 480 divisors, whose sum is σ = 721416326400. Its totient is φ = 52040102400.

The previous prime is 226098106639. The next prime is 226098106657. The reversal of 226098106650 is 56601890622.

226098106650 is a `hidden beast` number, since 22 + 609 + 8 + 10 + 6 + 6 + 5 + 0 = 666.

226098106650 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2260981066502 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 226098106596 and 226098106605.

It is not an unprimeable number, because it can be changed into a prime (226098106657) 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 239 ways as a sum of consecutive naturals, for example, 79026220 + ... + 79029080.

It is an arithmetic number, because the mean of its divisors is an integer number (1502950680).

Almost surely, 2226098106650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226098106650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360708163200).

226098106650 is an abundant number, since it is smaller than the sum of its proper divisors (495318219750).

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

226098106650 is a wasteful number, since it uses less digits than its factorization.

226098106650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 226098106650 in words is "two hundred twenty-six billion, ninety-eight million, one hundred six thousand, six hundred fifty".