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2425224064 = 27294713901
BaseRepresentation
bin1001000010001101…
…1111101110000000
320021000111010222111
42100203133232000
514431324132224
61040352545104
7114046031044
oct22043375600
96230433874
102425224064
111034a8080a
12578252194
132c85aab33
14190148024
15e2da9d94
hex908dfb80

2425224064 has 64 divisors (see below), whose sum is σ = 5104814400. Its totient is φ = 1145804800.

The previous prime is 2425224047. The next prime is 2425224073. The reversal of 2425224064 is 4604225242.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167514 + ... + 181414.

It is an arithmetic number, because the mean of its divisors is an integer number (79762725).

Almost surely, 22425224064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2425224064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552407200).

2425224064 is an abundant number, since it is smaller than the sum of its proper divisors (2679590336).

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

2425224064 is a wasteful number, since it uses less digits than its factorization.

2425224064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13991 (or 13979 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

The square root of 2425224064 is about 49246.5639816627. The cubic root of 2425224064 is about 1343.5400684369.

The spelling of 2425224064 in words is "two billion, four hundred twenty-five million, two hundred twenty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 29 32 47 58 64 94 116 128 188 232 376 464 752 928 1363 1504 1856 2726 3008 3712 5452 6016 10904 13901 21808 27802 43616 55604 87232 111208 174464 222416 403129 444832 653347 806258 889664 1306694 1612516 1779328 2613388 3225032 5226776 6450064 10453552 12900128 18947063 20907104 25800256 37894126 41814208 51600512 75788252 83628416 151576504 303153008 606306016 1212612032 2425224064