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1014220200 = 2335271132137
BaseRepresentation
bin111100011100111…
…100010110101000
32121200102201120010
4330130330112220
54034120021300
6244350131520
734063505130
oct7434742650
92550381503
101014220200
11480556714
122437b0ba0
131321788c6
14989adac0
155e08ea50
hex3c73c5a8

1014220200 has 192 divisors, whose sum is σ = 3626732160. Its totient is φ = 229662720.

The previous prime is 1014220199. The next prime is 1014220201. The reversal of 1014220200 is 20224101.

1014220200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1014220199) and next prime (1014220201).

It is a super-2 number, since 2×10142202002 = 2057285228176080000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1014220201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473532 + ... + 475668.

It is an arithmetic number, because the mean of its divisors is an integer number (18889230).

Almost surely, 21014220200 is an apocalyptic number.

1014220200 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 1014220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813366080).

1014220200 is an abundant number, since it is smaller than the sum of its proper divisors (2612511960).

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

1014220200 is a wasteful number, since it uses less digits than its factorization.

1014220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2267 counting only the distinct ones).

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

The square root of 1014220200 is about 31846.8240174746. The cubic root of 1014220200 is about 1004.7177742708.

Adding to 1014220200 its reverse (20224101), we get a palindrome (1034444301).

The spelling of 1014220200 in words is "one billion, fourteen million, two hundred twenty thousand, two hundred".