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2265442640 = 24538972797
BaseRepresentation
bin1000011100000111…
…1110100101010000
312211212211102001222
42013001332211100
514114423131030
61012444144212
7110065642016
oct20701764520
95755742058
102265442640
11a6286864a
12532838068
132a1465a06
14176c348b6
15d3d473e5
hex8707e950

2265442640 has 40 divisors (see below), whose sum is σ = 5280766920. Its totient is φ = 903835136.

The previous prime is 2265442639. The next prime is 2265442643. The reversal of 2265442640 is 462445622.

It can be written as a sum of positive squares in 4 ways, for example, as 119159056 + 2146283584 = 10916^2 + 46328^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 2265442640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265442643) 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, 5279 + ... + 67518.

It is an arithmetic number, because the mean of its divisors is an integer number (132019173).

Almost surely, 22265442640 is an apocalyptic number.

2265442640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2265442640 is an abundant number, since it is smaller than the sum of its proper divisors (3015324280).

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

2265442640 is a wasteful number, since it uses less digits than its factorization.

2265442640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73199 (or 73193 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The square root of 2265442640 is about 47596.6662698135. Note that the first 3 decimals coincide. The cubic root of 2265442640 is about 1313.3617287673.

The spelling of 2265442640 in words is "two billion, two hundred sixty-five million, four hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 389 778 1556 1945 3112 3890 6224 7780 15560 31120 72797 145594 291188 363985 582376 727970 1164752 1455940 2911880 5823760 28318033 56636066 113272132 141590165 226544264 283180330 453088528 566360660 1132721320 2265442640