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20202210000 = 24345472509
BaseRepresentation
bin10010110100001001…
…010100001011010000
31221010221000121020000
4102310021110023100
5312333231210000
613140351250000
71313425644300
oct226411241320
957127017200
1020202210000
118627691425
123ab9819900
131b9c556b1b
14d990c1600
157d38b0000
hex4b42542d0

20202210000 has 750 divisors, whose sum is σ = 85161466170. Its totient is φ = 4608576000.

The previous prime is 20202209927. The next prime is 20202210037. The reversal of 20202210000 is 1220202.

It can be written as a sum of positive squares in 5 ways, for example, as 4767626304 + 15434583696 = 69048^2 + 124236^2 .

It is a tau number, because it is divible by the number of its divisors (750).

It is a Harshad number since it is a multiple of its sum of digits (9).

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

It is a congruent number.

It is an unprimeable number.

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 149 ways as a sum of consecutive naturals, for example, 39689746 + ... + 39690254.

Almost surely, 220202210000 is an apocalyptic number.

20202210000 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 20202210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42580733085).

20202210000 is an abundant number, since it is smaller than the sum of its proper divisors (64959256170).

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

20202210000 is an equidigital number, since it uses as much as digits as its factorization.

20202210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20202210000 its reverse (1220202), we get a palindrome (20203430202).

The spelling of 20202210000 in words is "twenty billion, two hundred two million, two hundred ten thousand".