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2200021020 = 2233519316917
BaseRepresentation
bin1000001100100001…
…1010100000011100
312200022201122111000
42003020122200130
514001201133040
61002150030300
7105342604311
oct20310324034
95608648430
102200021020
11a2994439a
12514948390
13290a3b0b2
1416c284d08
15cd223130
hex8321a81c

2200021020 has 192 divisors, whose sum is σ = 7438233600. Its totient is φ = 537788160.

The previous prime is 2200021007. The next prime is 2200021049. The reversal of 2200021020 is 201200022.

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

It is a junction number, because it is equal to n+sod(n) for n = 2200020993 and 2200021011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314602 + ... + 321518.

It is an arithmetic number, because the mean of its divisors is an integer number (38740800).

Almost surely, 22200021020 is an apocalyptic number.

2200021020 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 2200021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719116800).

2200021020 is an abundant number, since it is smaller than the sum of its proper divisors (5238212580).

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

2200021020 is a wasteful number, since it uses less digits than its factorization.

2200021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6985 (or 6977 counting only the distinct ones).

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

The square root of 2200021020 is about 46904.3816716520. The cubic root of 2200021020 is about 1300.5955890249.

Adding to 2200021020 its reverse (201200022), we get a palindrome (2401221042).

The spelling of 2200021020 in words is "two billion, two hundred million, twenty-one thousand, twenty".