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2266431840 = 2538517127
BaseRepresentation
bin1000011100010111…
…0000000101100000
312211221200200000000
42013011300011200
514120201304330
61012521300000
7110110232001
oct20705600540
95757620000
102266431840
11a63383872
12533034600
132a172103a
141770111a8
15d3e90560
hex87170160

2266431840 has 432 divisors, whose sum is σ = 8570644992. Its totient is φ = 564350976.

The previous prime is 2266431779. The next prime is 2266431851. The reversal of 2266431840 is 481346622.

2266431840 is a `hidden beast` number, since 2 + 2 + 6 + 643 + 1 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 2266431795 and 2266431804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17845857 + ... + 17845983.

It is an arithmetic number, because the mean of its divisors is an integer number (19839456).

Almost surely, 22266431840 is an apocalyptic number.

2266431840 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 2266431840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285322496).

2266431840 is an abundant number, since it is smaller than the sum of its proper divisors (6304213152).

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

2266431840 is an equidigital number, since it uses as much as digits as its factorization.

2266431840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2266431840 is about 47607.0566197911. The cubic root of 2266431840 is about 1313.5528596822.

The spelling of 2266431840 in words is "two billion, two hundred sixty-six million, four hundred thirty-one thousand, eight hundred forty".