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22952609064 = 23347112193171
BaseRepresentation
bin10101011000000101…
…010000010100101000
32012020121101100110000
4111120011100110220
5334001331442224
614313322023000
71441533646410
oct253005202450
965217340400
1022952609064
119809170a00
124546947a60
13221a3084a8
14117a4b3640
158e509d0c9
hex558150528

22952609064 has 960 divisors, whose sum is σ = 88987852800. Its totient is φ = 5388768000.

The previous prime is 22952609059. The next prime is 22952609077. The reversal of 22952609064 is 46090625922.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 323276149 + ... + 323276219.

It is an arithmetic number, because the mean of its divisors is an integer number (92695680).

Almost surely, 222952609064 is an apocalyptic number.

22952609064 is a gapful number since it is divisible by the number (24) 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 22952609064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44493926400).

22952609064 is an abundant number, since it is smaller than the sum of its proper divisors (66035243736).

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

22952609064 is a wasteful number, since it uses less digits than its factorization.

22952609064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

It can be divided in two parts, 2295260 and 9064, that added together give a square (2304324 = 15182).

The spelling of 22952609064 in words is "twenty-two billion, nine hundred fifty-two million, six hundred nine thousand, sixty-four".