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2200231330200 = 23325231181217849
BaseRepresentation
bin100000000001001000000…
…000011100000110011000
321210100011220102022211200
4200001020000130012120
5242022033210031300
64402434453154200
7314650532505111
oct40011000340630
97710156368750
102200231330200
11779127253872
122b650502b960
1312c63378a107
14786c558b208
153c3768e9200
hex2004801c198

2200231330200 has 288 divisors, whose sum is σ = 7669644528000. Its totient is φ = 564662016000.

The previous prime is 2200231330189. The next prime is 2200231330207. The reversal of 2200231330200 is 20331320022.

It is a happy number.

2200231330200 is a `hidden beast` number, since 2 + 200 + 231 + 3 + 30 + 200 = 666.

It is a super-2 number, since 2×22002313302002 (a number of 25 digits) contains 22 as substring.

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 (2200231330207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9990876 + ... + 10208724.

Almost surely, 22200231330200 is an apocalyptic number.

2200231330200 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 2200231330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3834822264000).

2200231330200 is an abundant number, since it is smaller than the sum of its proper divisors (5469413197800).

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

2200231330200 is a wasteful number, since it uses less digits than its factorization.

2200231330200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218083 (or 218071 counting only the distinct ones).

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

Adding to 2200231330200 its reverse (20331320022), we get a palindrome (2220562650222).

The spelling of 2200231330200 in words is "two trillion, two hundred billion, two hundred thirty-one million, three hundred thirty thousand, two hundred".