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202002000000 = 27356131257
BaseRepresentation
bin1011110000100001000…
…0011110100010000000
3201022101212101211012120
42330020100132202000
511302200003000000
6232444243524240
720410540445463
oct2741020364200
9638355354176
10202002000000
1178739954459
1233196089680
1316083016968
149ac3d3b2da
1553c40ce6a0
hex2f0841e880

202002000000 has 448 divisors, whose sum is σ = 678450690720. Its totient is φ = 53248000000.

The previous prime is 202001999999. The next prime is 202002000001. The reversal of 202002000000 is 200202.

It is an interprime number because it is at equal distance from previous prime (202001999999) and next prime (202002000001).

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.

It is not an unprimeable number, because it can be changed into a prime (202002000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 785999872 + ... + 786000128.

Almost surely, 2202002000000 is an apocalyptic number.

202002000000 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 202002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339225345360).

202002000000 is an abundant number, since it is smaller than the sum of its proper divisors (476448690720).

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

202002000000 is an frugal number, since it uses more digits than its factorization.

202002000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 398 counting only the distinct ones).

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

Adding to 202002000000 its reverse (200202), we get a palindrome (202002200202).

The spelling of 202002000000 in words is "two hundred two billion, two million", and thus it is an aban number.