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5222350100 = 225211231511367
BaseRepresentation
bin1001101110100011…
…01011110100010100
3111110221202212120002
410313101223310110
541143410200400
62222113030432
7243262146332
oct46721536424
914427685502
105222350100
11223a975a20
121018b55418
13652c3cbb6
14377820b52
15208727ed5
hex13746bd14

5222350100 has 144 divisors (see below), whose sum is σ = 12995168256. Its totient is φ = 1803120000.

The previous prime is 5222350093. The next prime is 5222350153. The reversal of 5222350100 is 10532225.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3819617 + ... + 3820983.

It is an arithmetic number, because the mean of its divisors is an integer number (90244224).

Almost surely, 25222350100 is an apocalyptic number.

5222350100 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 5222350100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6497584128).

5222350100 is an abundant number, since it is smaller than the sum of its proper divisors (7772818156).

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

5222350100 is a wasteful number, since it uses less digits than its factorization.

5222350100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 5222350100 is about 72265.8294078190. The cubic root of 5222350100 is about 1734.9567823311.

Adding to 5222350100 its reverse (10532225), we get a palindrome (5232882325).

The spelling of 5222350100 in words is "five billion, two hundred twenty-two million, three hundred fifty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 151 220 230 253 275 302 460 506 550 575 604 755 1012 1100 1150 1265 1367 1510 1661 2300 2530 2734 3020 3322 3473 3775 5060 5468 6325 6644 6835 6946 7550 8305 12650 13670 13892 15037 15100 16610 17365 25300 27340 30074 31441 33220 34175 34730 38203 41525 60148 62882 68350 69460 75185 76406 83050 86825 125764 136700 150370 152812 157205 166100 173650 191015 206417 300740 314410 345851 347300 375925 382030 412834 628820 691702 751850 764060 786025 825668 955075 1032085 1383404 1503700 1572050 1729255 1910150 2064170 2270587 3144100 3458510 3820300 4128340 4541174 4747591 5160425 6917020 8646275 9082348 9495182 10320850 11352935 17292550 18990364 20641700 22705870 23737955 34585100 45411740 47475910 52223501 56764675 94951820 104447002 113529350 118689775 208894004 227058700 237379550 261117505 474759100 522235010 1044470020 1305587525 2611175050 5222350100