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22132030200 = 23352712494219
BaseRepresentation
bin10100100111001010…
…111111101011111000
32010010102022121212020
4110213022333223320
5330311244431300
614100050114440
71412311103250
oct244712775370
963112277766
1022132030200
119427a54955
124357b7ba20
1321192cb877
1410dd50c960
1589800d8a0
hex5272bfaf8

22132030200 has 192 divisors, whose sum is σ = 78492000000. Its totient is φ = 5053501440.

The previous prime is 22132030171. The next prime is 22132030201. The reversal of 22132030200 is 203023122.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22132030200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132030201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5243691 + ... + 5247909.

It is an arithmetic number, because the mean of its divisors is an integer number (408812500).

Almost surely, 222132030200 is an apocalyptic number.

22132030200 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 22132030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39246000000).

22132030200 is an abundant number, since it is smaller than the sum of its proper divisors (56359969800).

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

22132030200 is a wasteful number, since it uses less digits than its factorization.

22132030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5494 (or 5485 counting only the distinct ones).

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

Adding to 22132030200 its reverse (203023122), we get a palindrome (22335053322).

The spelling of 22132030200 in words is "twenty-two billion, one hundred thirty-two million, thirty thousand, two hundred".