Search a number
-
+
220020102200 = 23522361777521
BaseRepresentation
bin1100110011101000111…
…0000101010000111000
3210000220120122020210002
43030322032011100320
512101100121232300
6245024214212132
721616206003623
oct3147216052070
9700816566702
10220020102200
1185345680308
1236784354048
1317994c148b2
14a912d1adba
155acad615d5
hex333a385438

220020102200 has 96 divisors (see below), whose sum is σ = 534659931360. Its totient is φ = 84044083200.

The previous prime is 220020102161. The next prime is 220020102221. The reversal of 220020102200 is 2201020022.

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 23 ways as a sum of consecutive naturals, for example, 2799440 + ... + 2876960.

It is an arithmetic number, because the mean of its divisors is an integer number (5569374285).

Almost surely, 2220020102200 is an apocalyptic number.

220020102200 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 220020102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267329965680).

220020102200 is an abundant number, since it is smaller than the sum of its proper divisors (314639829160).

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

220020102200 is a wasteful number, since it uses less digits than its factorization.

220020102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78177 (or 78168 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 220020102200 its reverse (2201020022), we get a palindrome (222221122222).

The spelling of 220020102200 in words is "two hundred twenty billion, twenty million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 617 920 1150 1234 2300 2468 3085 4600 4936 6170 12340 14191 15425 24680 28382 30850 56764 61700 70955 77521 113528 123400 141910 155042 283820 310084 354775 387605 567640 620168 709550 775210 1419100 1550420 1782983 1938025 2838200 3100840 3565966 3876050 7131932 7752100 8914915 14263864 15504200 17829830 35659660 44574575 47830457 71319320 89149150 95660914 178298300 191321828 239152285 356596600 382643656 478304570 956609140 1100100511 1195761425 1913218280 2200201022 2391522850 4400402044 4783045700 5500502555 8800804088 9566091400 11001005110 22002010220 27502512775 44004020440 55005025550 110010051100 220020102200