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2002203840 = 263571324143
BaseRepresentation
bin111011101010111…
…0011010011000000
312011112111111022210
41313111303103000
513100031010330
6530402102120
7100421310660
oct16725632300
95145444283
102002203840
1193821241a
1247a64a940
1325ba69500
1414dcb01a0
15bab9a8b0
hex775734c0

2002203840 has 672 divisors, whose sum is σ = 8246278656. Its totient is φ = 402554880.

The previous prime is 2002203839. The next prime is 2002203893. The reversal of 2002203840 is 483022002.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×20022038403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46562859 + ... + 46562901.

It is an arithmetic number, because the mean of its divisors is an integer number (12271248).

Almost surely, 22002203840 is an apocalyptic number.

2002203840 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 2002203840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4123139328).

2002203840 is an abundant number, since it is smaller than the sum of its proper divisors (6244074816).

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

2002203840 is a wasteful number, since it uses less digits than its factorization.

2002203840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2002203840 is about 44745.9924462515. The cubic root of 2002203840 is about 1260.3836574187.

Adding to 2002203840 its reverse (483022002), we get a palindrome (2485225842).

The spelling of 2002203840 in words is "two billion, two million, two hundred three thousand, eight hundred forty".