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2200032123200 = 26521375020077
BaseRepresentation
bin100000000000111100001…
…000100001100101000000
321210022200000120120012122
4200000330020201211000
5242021131210420300
64402403015343412
7314642563332512
oct40007410414500
97708600516178
102200032123200
1177903486268a
122b646a381b68
1312c60141ca52
14786a6d33bb2
153c364199c85
hex2003c221940

2200032123200 has 42 divisors (see below), whose sum is σ = 5413454047086. Its totient is φ = 880012848640.

The previous prime is 2200032123199. The next prime is 2200032123203. The reversal of 2200032123200 is 23212300022.

It can be written as a sum of positive squares in 3 ways, for example, as 566093721664 + 1633938401536 = 752392^2 + 1278256^2 .

It is a super-2 number, since 2×22000321232002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200032123203) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 687508439 + ... + 687511638.

Almost surely, 22200032123200 is an apocalyptic number.

2200032123200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200032123200 is an abundant number, since it is smaller than the sum of its proper divisors (3213421923886).

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

2200032123200 is a wasteful number, since it uses less digits than its factorization.

2200032123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375020099 (or 1375020084 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 2200032123200 its reverse (23212300022), we get a palindrome (2223244423222).

It can be divided in two parts, 2200032 and 123200, that added together give a palindrome (2323232).

The spelling of 2200032123200 in words is "two trillion, two hundred billion, thirty-two million, one hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 1375020077 2750040154 5500080308 6875100385 11000160616 13750200770 22000321232 27500401540 34375501925 44000642464 55000803080 68751003850 88001284928 110001606160 137502007700 220003212320 275004015400 440006424640 550008030800 1100016061600 2200032123200