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22132010220000 = 253543111186067
BaseRepresentation
bin1010000100001000000101…
…00110110111100111100000
32220100210120211211100200020
411002010002212313213200
510400102324104020000
6115023145524153440
74442661562623012
oct502040246674740
986323524740606
1022132010220000
117063150874a9a
1225953b9538880
13c47069034a05
145672a31721b2
15285a87407ba0
hex1421029b79e0

22132010220000 has 240 divisors, whose sum is σ = 72830913547392. Its totient is φ = 5882887360000.

The previous prime is 22132010219981. The next prime is 22132010220007. The reversal of 22132010220000 is 2201023122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 (22132010220007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18066967 + ... + 19253033.

Almost surely, 222132010220000 is an apocalyptic number.

22132010220000 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 22132010220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36415456773696).

22132010220000 is an abundant number, since it is smaller than the sum of its proper divisors (50698903327392).

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

22132010220000 is a wasteful number, since it uses less digits than its factorization.

22132010220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186411 (or 1186388 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22132010220000 its reverse (2201023122), we get a palindrome (22134211243122).

The spelling of 22132010220000 in words is "twenty-two trillion, one hundred thirty-two billion, ten million, two hundred twenty thousand".