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2002221400 = 235210011107
BaseRepresentation
bin111011101010111…
…0111100101011000
312011112112101102011
41313111313211120
513100032041100
6530402315304
7100421413114
oct16725674530
95145471364
102002221400
11938224633
1247a658b34
1325ba744ba
1414dcb6744
15baba0bba
hex77577958

2002221400 has 24 divisors (see below), whose sum is σ = 4655165220. Its totient is φ = 800888480.

The previous prime is 2002221379. The next prime is 2002221409. The reversal of 2002221400 is 41222002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002221409) 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 5 ways as a sum of consecutive naturals, for example, 5005354 + ... + 5005753.

Almost surely, 22002221400 is an apocalyptic number.

2002221400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002221400 is an abundant number, since it is smaller than the sum of its proper divisors (2652943820).

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

2002221400 is a wasteful number, since it uses less digits than its factorization.

2002221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10011123 (or 10011114 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2002221400 is about 44746.1886645109. The cubic root of 2002221400 is about 1260.3873420706.

Adding to 2002221400 its reverse (41222002), we get a palindrome (2043443402).

The spelling of 2002221400 in words is "two billion, two million, two hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10011107 20022214 40044428 50055535 80088856 100111070 200222140 250277675 400444280 500555350 1001110700 2002221400