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2263103955 = 3657212671
BaseRepresentation
bin1000011011100100…
…0011100111010011
312211201102121000000
42012321003213103
514113323311310
61012322101043
7110040031500
oct20671034723
95751377000
102263103955
11a61510552
12531aaa783
132a0b27388
141767c64a7
15d3a344c0
hex86e439d3

2263103955 has 84 divisors (see below), whose sum is σ = 4736869632. Its totient is φ = 1034480160.

The previous prime is 2263103939. The next prime is 2263103977. The reversal of 2263103955 is 5593013622.

2263103955 is a `hidden beast` number, since 2 + 263 + 1 + 0 + 395 + 5 = 666.

2263103955 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2263103955 - 24 = 2263103939 is a prime.

It is a super-3 number, since 3×22631039553 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 172270 + ... + 184940.

Almost surely, 22263103955 is an apocalyptic number.

2263103955 is an abundant number, since it is smaller than the sum of its proper divisors (2473765677).

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

2263103955 is an equidigital number, since it uses as much as digits as its factorization.

2263103955 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12708 (or 12686 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 2263103955 is about 47572.0921864910. The cubic root of 2263103955 is about 1312.9096321402.

The spelling of 2263103955 in words is "two billion, two hundred sixty-three million, one hundred three thousand, nine hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 243 245 315 405 441 567 729 735 945 1215 1323 1701 2205 2835 3645 3969 5103 6615 8505 11907 12671 19845 25515 35721 38013 59535 63355 88697 114039 178605 190065 266091 342117 443485 570195 620879 798273 1026351 1330455 1710585 1862637 2394819 3079053 3104395 3991365 5131755 5587911 7184457 9237159 9313185 11974095 15395265 16763733 21553371 27939555 35922285 46185795 50291199 64660113 83818665 107766855 150873597 251455995 323300565 452620791 754367985 2263103955