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22132230000 = 243543132357
BaseRepresentation
bin10100100111001011…
…110000011101110000
32010010102200202221020
4110213023300131300
5330311322330000
614100054255440
71412312564616
oct244713603560
963112622836
1022132230000
119428080a81
124358057580
13211936b7aa
1410dd5616b6
1589804cba0
hex5272f0770

22132230000 has 200 divisors, whose sum is σ = 71704459728. Its totient is φ = 5880576000.

The previous prime is 22132229983. The next prime is 22132230007. The reversal of 22132230000 is 3223122.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132230007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9388822 + ... + 9391178.

Almost surely, 222132230000 is an apocalyptic number.

22132230000 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 22132230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35852229864).

22132230000 is an abundant number, since it is smaller than the sum of its proper divisors (49572229728).

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

22132230000 is a wasteful number, since it uses less digits than its factorization.

22132230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 22132230000 its reverse (3223122), we get a palindrome (22135453122).

The spelling of 22132230000 in words is "twenty-two billion, one hundred thirty-two million, two hundred thirty thousand".