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5226051300 = 22352312692089
BaseRepresentation
bin1001101110111111…
…10011011011100100
3111111012201220122120
410313133303123210
541200332120200
62222324225540
7243335463111
oct46737633344
914435656576
105226051300
112241a73768
12101a23b2b0
13653937762
14378105908
15208c099a0
hex1377f36e4

5226051300 has 144 divisors (see below), whose sum is σ = 15673996800. Its totient is φ = 1343001600.

The previous prime is 5226051293. The next prime is 5226051317. The reversal of 5226051300 is 31506225.

It is a super-2 number, since 2×52260513002 = 54623224380463380000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2500656 + ... + 2502744.

It is an arithmetic number, because the mean of its divisors is an integer number (108847200).

Almost surely, 25226051300 is an apocalyptic number.

5226051300 is a gapful number since it is divisible by the number (50) 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 5226051300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7836998400).

5226051300 is an abundant number, since it is smaller than the sum of its proper divisors (10447945500).

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

5226051300 is a wasteful number, since it uses less digits than its factorization.

5226051300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 5226051300 is about 72291.4331024085. The cubic root of 5226051300 is about 1735.3665535078.

Adding to 5226051300 its reverse (31506225), we get a palindrome (5257557525).

The spelling of 5226051300 in words is "five billion, two hundred twenty-six million, fifty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 269 300 310 372 465 538 620 775 807 930 1076 1345 1550 1614 1860 2089 2325 2690 3100 3228 4035 4178 4650 5380 6267 6725 8070 8339 8356 9300 10445 12534 13450 16140 16678 20175 20890 25017 25068 26900 31335 33356 40350 41695 41780 50034 52225 62670 64759 80700 83390 100068 104450 125085 125340 129518 156675 166780 194277 208475 208900 250170 259036 313350 323795 388554 416950 500340 561941 625425 626700 647590 777108 833900 971385 1123882 1250850 1295180 1618975 1685823 1942770 2247764 2501700 2809705 3237950 3371646 3885540 4856925 5619410 6475900 6743292 8429115 9713850 11238820 14048525 16858230 17420171 19427700 28097050 33716460 34840342 42145575 52260513 56194100 69680684 84291150 87100855 104521026 168582300 174201710 209042052 261302565 348403420 435504275 522605130 871008550 1045210260 1306512825 1742017100 2613025650 5226051300