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22434230000 = 245471389277
BaseRepresentation
bin10100111001001011…
…110010111011110000
32010220110221222001102
4110321023302323300
5331421130330000
614150043223532
71422640544240
oct247113627360
963813858042
1022434230000
1195725a1056
124421217ba8
132166ab9a10
14112b6d5b20
158b48043d5
hex5392f2ef0

22434230000 has 400 divisors, whose sum is σ = 67845032640. Its totient is φ = 6994944000.

The previous prime is 22434229949. The next prime is 22434230011. The reversal of 22434230000 is 3243422.

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 (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 80989862 + ... + 80990138.

Almost surely, 222434230000 is an apocalyptic number.

22434230000 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 22434230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33922516320).

22434230000 is an abundant number, since it is smaller than the sum of its proper divisors (45410802640).

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

22434230000 is a wasteful number, since it uses less digits than its factorization.

22434230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 22434230000 its reverse (3243422), we get a palindrome (22437473422).

The spelling of 22434230000 in words is "twenty-two billion, four hundred thirty-four million, two hundred thirty thousand".