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1014202200 = 2335211314957
BaseRepresentation
bin111100011100110…
…111111101011000
32121200101210212110
4330130313331120
54034113432300
6244345512320
734063401504
oct7434677530
92550353773
101014202200
11480544140
122437a26a0
1313217065b
14989a7304
155e089550
hex3c737f58

1014202200 has 192 divisors, whose sum is σ = 3541201920. Its totient is φ = 237888000.

The previous prime is 1014202183. The next prime is 1014202207. The reversal of 1014202200 is 22024101.

It is a super-2 number, since 2×10142022002 = 2057212204969680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014202207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202122 + ... + 207078.

It is an arithmetic number, because the mean of its divisors is an integer number (18443760).

Almost surely, 21014202200 is an apocalyptic number.

1014202200 is a gapful number since it is divisible by the number (10) 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 1014202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770600960).

1014202200 is an abundant number, since it is smaller than the sum of its proper divisors (2526999720).

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

1014202200 is a wasteful number, since it uses less digits than its factorization.

1014202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5018 (or 5009 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1014202200 is about 31846.5414134722. The cubic root of 1014202200 is about 1004.7118304508.

Adding to 1014202200 its reverse (22024101), we get a palindrome (1036226301).

The spelling of 1014202200 in words is "one billion, fourteen million, two hundred two thousand, two hundred".