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2231314020 = 22335131916729
BaseRepresentation
bin1000010011111111…
…0010011001100100
312202111121111102000
42010333302121210
514032204022040
61005224445300
7106202566455
oct20477623144
95674544360
102231314020
11a45578281
12523319830
13297376770
141724ad12c
15d0d55130
hex84ff2664

2231314020 has 192 divisors, whose sum is σ = 7869792000. Its totient is φ = 520307712.

The previous prime is 2231313991. The next prime is 2231314021. The reversal of 2231314020 is 204131322.

2231314020 is a `hidden beast` number, since 2 + 231 + 31 + 402 + 0 = 666.

2231314020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22313140203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2231313984 and 2231314002.

It is not an unprimeable number, because it can be changed into a prime (2231314021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125016 + ... + 141744.

It is an arithmetic number, because the mean of its divisors is an integer number (40988500).

Almost surely, 22231314020 is an apocalyptic number.

2231314020 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 2231314020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934896000).

2231314020 is an abundant number, since it is smaller than the sum of its proper divisors (5638477980).

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

2231314020 is a wasteful number, since it uses less digits than its factorization.

2231314020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16779 (or 16771 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2231314020 is about 47236.7867239083. The cubic root of 2231314020 is about 1306.7331180919.

Adding to 2231314020 its reverse (204131322), we get a palindrome (2435445342).

The spelling of 2231314020 in words is "two billion, two hundred thirty-one million, three hundred fourteen thousand, twenty".