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2265663616 = 27831671277
BaseRepresentation
bin1000011100001011…
…0100100010000000
312211220020122012021
42013002310202000
514120002213431
61012453011224
7110100552166
oct20702644200
95756218167
102265663616
11a629a9677
12532923b14
132a1512478
14176c91236
15d3d8cb11
hex870b4880

2265663616 has 64 divisors (see below), whose sum is σ = 4598959680. Its totient is φ = 1111610368.

The previous prime is 2265663611. The next prime is 2265663637. The reversal of 2265663616 is 6163665622.

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

It is not an unprimeable number, because it can be changed into a prime (2265663611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1773570 + ... + 1774846.

It is an arithmetic number, because the mean of its divisors is an integer number (71858745).

Almost surely, 22265663616 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 2265663616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299479840).

2265663616 is an abundant number, since it is smaller than the sum of its proper divisors (2333296064).

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

2265663616 is a wasteful number, since it uses less digits than its factorization.

2265663616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1529 counting only the distinct ones).

The product of its digits is 466560, while the sum is 43.

The square root of 2265663616 is about 47598.9875522579. The cubic root of 2265663616 is about 1313.4044300597.

The spelling of 2265663616 in words is "two billion, two hundred sixty-five million, six hundred sixty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 83 128 166 167 332 334 664 668 1277 1328 1336 2554 2656 2672 5108 5312 5344 10216 10624 10688 13861 20432 21376 27722 40864 55444 81728 105991 110888 163456 211982 213259 221776 423964 426518 443552 847928 853036 887104 1695856 1706072 1774208 3391712 3412144 6783424 6824288 13566848 13648576 17700497 27297152 35400994 70801988 141603976 283207952 566415904 1132831808 2265663616