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2266426230120 = 2332513587825007
BaseRepresentation
bin100000111110110001100…
…001111100010101101000
322000200001010210122200200
4200332301201330111220
5244113120103330440
64453103135432200
7322513104044403
oct40766141742550
98020033718620
102266426230120
117a4205580928
123072b9685660
131359527a2b50
147b9a4aa4d3a
153de4ce32c30
hex20fb187c568

2266426230120 has 192 divisors, whose sum is σ = 7946015051520. Its totient is φ = 556938450432.

The previous prime is 2266426230113. The next prime is 2266426230169. The reversal of 2266426230120 is 210326246622.

2266426230120 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 4 + 2 + 623 + 0 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2334657 + ... + 3159663.

It is an arithmetic number, because the mean of its divisors is an integer number (41385495060).

Almost surely, 22266426230120 is an apocalyptic number.

2266426230120 is a gapful number since it is divisible by the number (20) 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 2266426230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973007525760).

2266426230120 is an abundant number, since it is smaller than the sum of its proper divisors (5679588821400).

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

2266426230120 is a wasteful number, since it uses less digits than its factorization.

2266426230120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825624 (or 825617 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 2266426230120 in words is "two trillion, two hundred sixty-six billion, four hundred twenty-six million, two hundred thirty thousand, one hundred twenty".