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2220131032200 = 2332524332848513
BaseRepresentation
bin100000010011101010000…
…111110001110010001000
321212020112202012221002200
4200103222013301302020
5242333312021012300
64415525241000200
7316253626256034
oct40235207616210
97766482187080
102220131032200
117866090a8484
122ba339483060
13131485448703
14796524051c4
153cb3d952200
hex204ea1f1c88

2220131032200 has 144 divisors (see below), whose sum is σ = 7473161934420. Its totient is φ = 590667448320.

The previous prime is 2220131032109. The next prime is 2220131032237. The reversal of 2220131032200 is 22301310222.

It can be written as a sum of positive squares in 6 ways, for example, as 797659761924 + 1422471270276 = 893118^2 + 1192674^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 644857 + ... + 2203656.

Almost surely, 22220131032200 is an apocalyptic number.

2220131032200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220131032200 is an abundant number, since it is smaller than the sum of its proper divisors (5253030902220).

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

2220131032200 is a wasteful number, since it uses less digits than its factorization.

2220131032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2848968 (or 2848956 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2220131032200 its reverse (22301310222), we get a palindrome (2242432342422).

The spelling of 2220131032200 in words is "two trillion, two hundred twenty billion, one hundred thirty-one million, thirty-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 90 100 120 150 180 200 225 300 360 433 450 600 866 900 1299 1732 1800 2165 2598 3464 3897 4330 5196 6495 7794 8660 10392 10825 12990 15588 17320 19485 21650 25980 31176 32475 38970 43300 51960 64950 77940 86600 97425 129900 155880 194850 259800 389700 779400 2848513 5697026 8545539 11394052 14242565 17091078 22788104 25636617 28485130 34182156 42727695 51273234 56970260 68364312 71212825 85455390 102546468 113940520 128183085 142425650 170910780 205092936 213638475 256366170 284851300 341821560 427276950 512732340 569702600 640915425 854553900 1025464680 1233406129 1281830850 1709107800 2466812258 2563661700 3700218387 4933624516 5127323400 6167030645 7400436774 9867249032 11100655161 12334061290 14800873548 18501091935 22201310322 24668122580 29601747096 30835153225 37002183870 44402620644 49336245160 55503275805 61670306450 74004367740 88805241288 92505459675 111006551610 123340612900 148008735480 185010919350 222013103220 246681225800 277516379025 370021838700 444026206440 555032758050 740043677400 1110065516100 2220131032200