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2265040064 = 26725120143
BaseRepresentation
bin1000011100000001…
…1100010011000000
312211212001221211202
42013000130103000
514114322240224
61012431400332
7110062344230
oct20700342300
95755057752
102265040064
11a62613141
125326830a8
132a13546c1
14176b6bcc0
15d3cb7eae
hex8701c4c0

2265040064 has 56 divisors (see below), whose sum is σ = 5157508608. Its totient is φ = 966816000.

The previous prime is 2265040049. The next prime is 2265040073. The reversal of 2265040064 is 4600405622.

It is a tau number, because it is divible by the number of its divisors (56).

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, 102377 + ... + 122519.

It is an arithmetic number, because the mean of its divisors is an integer number (92098368).

Almost surely, 22265040064 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 2265040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578754304).

2265040064 is an abundant number, since it is smaller than the sum of its proper divisors (2892468544).

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

2265040064 is a wasteful number, since it uses less digits than its factorization.

2265040064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20413 (or 20403 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 2265040064 is about 47592.4370462367. The cubic root of 2265040064 is about 1313.2839280432.

Adding to 2265040064 its reverse (4600405622), we get a palindrome (6865445686).

The spelling of 2265040064 in words is "two billion, two hundred sixty-five million, forty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 251 448 502 1004 1757 2008 3514 4016 7028 8032 14056 16064 20143 28112 40286 56224 80572 112448 141001 161144 282002 322288 564004 644576 1128008 1289152 2256016 4512032 5055893 9024064 10111786 20223572 35391251 40447144 70782502 80894288 141565004 161788576 283130008 323577152 566260016 1132520032 2265040064