Search a number
-
+
2265364255120 = 245421103165239
BaseRepresentation
bin100000111101110010001…
…110110101000110010000
322000120022010111201212021
4200331302032311012100
5244103431222130440
64452405521541224
7322444560312361
oct40756216650620
98016263451767
102265364255120
117a381007833a
12307061aa4814
13135813776a85
147b903a23b68
153ddd9aad84a
hex20f723b5190

2265364255120 has 80 divisors (see below), whose sum is σ = 5284684258560. Its totient is φ = 903102681600.

The previous prime is 2265364255109. The next prime is 2265364255123. The reversal of 2265364255120 is 215524635622.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2265364255123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34691461 + ... + 34756699.

It is an arithmetic number, because the mean of its divisors is an integer number (66058553232).

Almost surely, 22265364255120 is an apocalyptic number.

2265364255120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2265364255120 is an abundant number, since it is smaller than the sum of its proper divisors (3019320003440).

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

2265364255120 is a wasteful number, since it uses less digits than its factorization.

2265364255120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66704 (or 66698 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 43.

The spelling of 2265364255120 in words is "two trillion, two hundred sixty-five billion, three hundred sixty-four million, two hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 421 842 1031 1684 2062 2105 3368 4124 4210 5155 6736 8248 8420 10310 16496 16840 20620 33680 41240 65239 82480 130478 260956 326195 434051 521912 652390 868102 1043824 1304780 1736204 2170255 2609560 3472408 4340510 5219120 6944816 8681020 17362040 27465619 34724080 54931238 67261409 109862476 134522818 137328095 219724952 269045636 274656190 336307045 439449904 538091272 549312380 672614090 1076182544 1098624760 1345228180 2197249520 2690456360 5380912720 28317053189 56634106378 113268212756 141585265945 226536425512 283170531890 453072851024 566341063780 1132682127560 2265364255120