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22971480000 = 263547232941
BaseRepresentation
bin10101011001001101…
…001111011111000000
32012021220220002111120
4111121031033133000
5334021144330000
614315234312240
71442153233620
oct253115173700
965256802446
1022971480000
11981888aa17
124551128680
1322211b4a21
14117cbc6880
158e6a796a0
hex55934f7c0

22971480000 has 1120 divisors, whose sum is σ = 95981276160. Its totient is φ = 4730880000.

The previous prime is 22971479989. The next prime is 22971480001. The reversal of 22971480000 is 8417922.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22971480001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 560279980 + ... + 560280020.

It is an arithmetic number, because the mean of its divisors is an integer number (85697568).

Almost surely, 222971480000 is an apocalyptic number.

22971480000 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 22971480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47990638080).

22971480000 is an abundant number, since it is smaller than the sum of its proper divisors (73009796160).

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

22971480000 is a wasteful number, since it uses less digits than its factorization.

22971480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

Adding to 22971480000 its reverse (8417922), we get a palindrome (22979897922).

The spelling of 22971480000 in words is "twenty-two billion, nine hundred seventy-one million, four hundred eighty thousand".