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200020002000 = 24353713379901
BaseRepresentation
bin1011101001001000011…
…1110000010011010000
3201010021201220220002020
42322102013300103100
511234120110031000
6231515442451440
720310452651610
oct2722207602320
9633251826066
10200020002000
1177912092a85
1232922363b80
1315b28503490
149976a0aa40
15530a0c5ba0
hex2e921f04d0

200020002000 has 640 divisors, whose sum is σ = 815212489728. Its totient is φ = 41057280000.

The previous prime is 200020001989. The next prime is 200020002011. The reversal of 200020002000 is 200020002.

It is an interprime number because it is at equal distance from previous prime (200020001989) and next prime (200020002011).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

200020002000 is a modest number, since divided by 20002000 gives 2000 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 200020002000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20197050 + ... + 20206950.

Almost surely, 2200020002000 is an apocalyptic number.

200020002000 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 200020002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407606244864).

200020002000 is an abundant number, since it is smaller than the sum of its proper divisors (615192487728).

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

200020002000 is a wasteful number, since it uses less digits than its factorization.

200020002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9984 (or 9968 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

Adding to 200020002000 its reverse (200020002), we get a palindrome (200220022002).

200020002000 divided by its reverse (200020002) gives a cube (1000 = 103).

The spelling of 200020002000 in words is "two hundred billion, twenty million, two thousand".