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2232020000 = 25547107149
BaseRepresentation
bin1000010100001001…
…1110110000100000
312202112221100211102
42011002132300200
514032344120000
61005251533532
7106211566640
oct20502366040
95675840742
102232020000
11a45a0a731
125235ba2a8
13297562bc2
14172614520
15d0e443d5
hex8509ec20

2232020000 has 240 divisors, whose sum is σ = 6376708800. Its totient is φ = 753024000.

The previous prime is 2232019997. The next prime is 2232020039. The reversal of 2232020000 is 202322.

It is a super-3 number, since 3×22320200003 (a number of 29 digits) contains 333 as substring.

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 39 ways as a sum of consecutive naturals, for example, 14979926 + ... + 14980074.

It is an arithmetic number, because the mean of its divisors is an integer number (26569620).

Almost surely, 22232020000 is an apocalyptic number.

2232020000 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 2232020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188354400).

2232020000 is an abundant number, since it is smaller than the sum of its proper divisors (4144688800).

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

2232020000 is a wasteful number, since it uses less digits than its factorization.

2232020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 2232020000 is about 47244.2589104750. The cubic root of 2232020000 is about 1306.8709188318.

Adding to 2232020000 its reverse (202322), we get a palindrome (2232222322).

The spelling of 2232020000 in words is "two billion, two hundred thirty-two million, twenty thousand".