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20122230000 = 2435429101229
BaseRepresentation
bin10010101111011000…
…001101110011110000
31220221100112012021210
4102233120031303300
5312202242330000
613124413120120
71311435063405
oct225730156360
956840465253
1020122230000
118596524254
123a96a89040
131b88b02892
14d8c6222ac
157cb862350
hex4af60dcf0

20122230000 has 400 divisors, whose sum is σ = 68158807200. Its totient is φ = 5107200000.

The previous prime is 20122229999. The next prime is 20122230019. The reversal of 20122230000 is 3222102.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 87869886 + ... + 87870114.

It is an arithmetic number, because the mean of its divisors is an integer number (170397018).

Almost surely, 220122230000 is an apocalyptic number.

20122230000 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 20122230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34079403600).

20122230000 is an abundant number, since it is smaller than the sum of its proper divisors (48036577200).

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

20122230000 is a wasteful number, since it uses less digits than its factorization.

20122230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20122230000 its reverse (3222102), we get a palindrome (20125452102).

The spelling of 20122230000 in words is "twenty billion, one hundred twenty-two million, two hundred thirty thousand".