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2265403740 = 2235312101389
BaseRepresentation
bin1000011100000111…
…0101000101011100
312211212202102201020
42013001311011130
514114420404430
61012443244140
7110065420425
oct20701650534
95755672636
102265403740
11a628413a6
12532819650
132a14510b2
14176c2464c
15d3d3ab10
hex8707515c

2265403740 has 144 divisors (see below), whose sum is σ = 6636258720. Its totient is φ = 577344000.

The previous prime is 2265403691. The next prime is 2265403741. The reversal of 2265403740 is 473045622.

It is a super-3 number, since 3×22654037403 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265403741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5823466 + ... + 5823854.

It is an arithmetic number, because the mean of its divisors is an integer number (46085130).

Almost surely, 22265403740 is an apocalyptic number.

2265403740 is a gapful number since it is divisible by the number (20) 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 2265403740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318129360).

2265403740 is an abundant number, since it is smaller than the sum of its proper divisors (4370854980).

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

2265403740 is a wasteful number, since it uses less digits than its factorization.

2265403740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 2265403740 is about 47596.2576259941. The cubic root of 2265403740 is about 1313.3542114632.

The spelling of 2265403740 in words is "two billion, two hundred sixty-five million, four hundred three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 101 124 155 186 202 303 310 372 389 404 465 505 606 620 778 930 961 1010 1167 1212 1515 1556 1860 1922 1945 2020 2334 2883 3030 3131 3844 3890 4668 4805 5766 5835 6060 6262 7780 9393 9610 11532 11670 12059 12524 14415 15655 18786 19220 23340 24118 28830 31310 36177 37572 39289 46965 48236 57660 60295 62620 72354 78578 93930 97061 117867 120590 144708 157156 180885 187860 194122 196445 235734 241180 291183 361770 373829 388244 392890 471468 485305 582366 589335 723540 747658 785780 970610 1121487 1164732 1178670 1217959 1455915 1495316 1869145 1941220 2242974 2357340 2435918 2911830 3653877 3738290 4485948 4871836 5607435 5823660 6089795 7307754 7476580 11214870 12179590 14615508 18269385 22429740 24359180 36538770 37756729 73077540 75513458 113270187 151026916 188783645 226540374 377567290 453080748 566350935 755134580 1132701870 2265403740