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2231033220 = 2234513229281
BaseRepresentation
bin1000010011111010…
…1101110110000100
312202111002020020000
42010332231312010
514032121030340
61005214441300
7106200320013
oct20476556604
95674066200
102231033220
11a453a6309
12523203230
132972a8a00
14172438a7a
15d0cebd30
hex84fadd84

2231033220 has 360 divisors, whose sum is σ = 7867850760. Its totient is φ = 528353280.

The previous prime is 2231033209. The next prime is 2231033237. The reversal of 2231033220 is 223301322.

It is a happy number.

2231033220 is a `hidden beast` number, since 2 + 2 + 310 + 332 + 20 = 666.

2231033220 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 can be written as a sum of positive squares in 12 ways, for example, as 1041611076 + 1189422144 = 32274^2 + 34488^2 .

It is a super-3 number, since 3×22310332203 (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 = 2231033193 and 2231033202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7939480 + ... + 7939760.

It is an arithmetic number, because the mean of its divisors is an integer number (21855141).

Almost surely, 22231033220 is an apocalyptic number.

2231033220 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 2231033220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3933925380).

2231033220 is an abundant number, since it is smaller than the sum of its proper divisors (5636817540).

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

2231033220 is a wasteful number, since it uses less digits than its factorization.

2231033220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2231033220 is about 47233.8143706392. The cubic root of 2231033220 is about 1306.6783004598.

Adding to 2231033220 its reverse (223301322), we get a palindrome (2454334542).

The spelling of 2231033220 in words is "two billion, two hundred thirty-one million, thirty-three thousand, two hundred twenty".