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2262058080 = 253517277213
BaseRepresentation
bin1000011011010100…
…0100010001100000
312211122110110022220
42012311010101200
514113041324310
61012243431040
7110025114342
oct20665042140
95748413286
102262058080
11a60966797
12531685480
132a084c309
141765d3292
15d38c9670
hex86d44460

2262058080 has 96 divisors (see below), whose sum is σ = 7544656224. Its totient is φ = 567730176.

The previous prime is 2262058049. The next prime is 2262058093. The reversal of 2262058080 is 808502622.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130447 + ... + 146766.

It is an arithmetic number, because the mean of its divisors is an integer number (78590169).

Almost surely, 22262058080 is an apocalyptic number.

2262058080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2262058080 is an abundant number, since it is smaller than the sum of its proper divisors (5282598144).

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

2262058080 is a wasteful number, since it uses less digits than its factorization.

2262058080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277248 (or 277240 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2262058080 is about 47561.0983893350. The cubic root of 2262058080 is about 1312.7073508234.

The spelling of 2262058080 in words is "two billion, two hundred sixty-two million, fifty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 277213 554426 831639 1108852 1386065 1663278 2217704 2772130 3326556 4158195 4435408 4712621 5544260 6653112 8316390 8870816 9425242 11088520 13306224 14137863 16632780 18850484 22177040 23563105 26612448 28275726 33265560 37700968 44354080 47126210 56551452 66531120 70689315 75401936 94252420 113102904 133062240 141378630 150803872 188504840 226205808 282757260 377009680 452411616 565514520 754019360 1131029040 2262058080