Search a number
-
+
22038352200 = 23325225148779
BaseRepresentation
bin10100100001100101…
…101001000101001000
32002212220001021210200
4110201211221011020
5330113304232300
614042502212200
71410062621454
oct244145510510
962786037720
1022038352200
11938a091217
124330724060
132102a8c7b7
1410d0cc5664
1588eba7200
hex521969148

22038352200 has 144 divisors (see below), whose sum is σ = 74308525200. Its totient is φ = 5853360000.

The previous prime is 22038352199. The next prime is 22038352201. The reversal of 22038352200 is 225383022.

It is an interprime number because it is at equal distance from previous prime (22038352199) and next prime (22038352201).

It is not an unprimeable number, because it can be changed into a prime (22038352201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 427411 + ... + 476189.

It is an arithmetic number, because the mean of its divisors is an integer number (516031425).

Almost surely, 222038352200 is an apocalyptic number.

22038352200 is a gapful number since it is divisible by the number (20) 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 22038352200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37154262600).

22038352200 is an abundant number, since it is smaller than the sum of its proper divisors (52270173000).

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

22038352200 is a wasteful number, since it uses less digits than its factorization.

22038352200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49052 (or 49040 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 22038352200 in words is "twenty-two billion, thirty-eight million, three hundred fifty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 251 300 360 450 502 600 753 900 1004 1255 1506 1800 2008 2259 2510 3012 3765 4518 5020 6024 6275 7530 9036 10040 11295 12550 15060 18072 18825 22590 25100 30120 37650 45180 48779 50200 56475 75300 90360 97558 112950 146337 150600 195116 225900 243895 292674 390232 439011 451800 487790 585348 731685 878022 975580 1170696 1219475 1463370 1756044 1951160 2195055 2438950 2926740 3512088 3658425 4390110 4877900 5853480 7316850 8780220 9755800 10975275 12243529 14633700 17560440 21950550 24487058 29267400 36730587 43901100 48974116 61217645 73461174 87802200 97948232 110191761 122435290 146922348 183652935 220383522 244870580 293844696 306088225 367305870 440767044 489741160 550958805 612176450 734611740 881534088 918264675 1101917610 1224352900 1469223480 1836529350 2203835220 2448705800 2754794025 3673058700 4407670440 5509588050 7346117400 11019176100 22038352200