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2201331132 = 223271113237127
BaseRepresentation
bin1000001100110101…
…1010010110111100
312200102012012121200
42003031122112330
514002020044012
61002234055500
7105360002010
oct20315322674
95612165550
102201331132
11a2a659730
1251527a590
132910a9500
1416c506540
15cd3d13dc
hex8335a5bc

2201331132 has 432 divisors, whose sum is σ = 7776018432. Its totient is φ = 509483520.

The previous prime is 2201331131. The next prime is 2201331149. The reversal of 2201331132 is 2311331022.

2201331132 is a `hidden beast` number, since 2 + 201 + 331 + 132 = 666.

2201331132 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 Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201331131) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17333253 + ... + 17333379.

Almost surely, 22201331132 is an apocalyptic number.

2201331132 is a gapful number since it is divisible by the number (22) 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 2201331132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888009216).

2201331132 is an abundant number, since it is smaller than the sum of its proper divisors (5574687300).

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

2201331132 is a wasteful number, since it uses less digits than its factorization.

2201331132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2201331132 is about 46918.3453672441. The cubic root of 2201331132 is about 1300.8537059180.

Adding to 2201331132 its reverse (2311331022), we get a palindrome (4512662154).

It can be divided in two parts, 2201 and 331132, that added together give a palindrome (333333).

The spelling of 2201331132 in words is "two billion, two hundred one million, three hundred thirty-one thousand, one hundred thirty-two".