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2220021122000 = 24531129173641
BaseRepresentation
bin100000010011100011100…
…100100000001111010000
321212020021002101220122112
4200103203210200033100
5242333100401401000
64415510313124452
7316251123120113
oct40234344401720
97766232356575
102220021122000
11786562058300
122ba3086b9728
131314687451a6
147964199457a
153cb33e91235
hex204e39203d0

2220021122000 has 120 divisors (see below), whose sum is σ = 5900376450696. Its totient is φ = 807280320000.

The previous prime is 2220021121973. The next prime is 2220021122009. The reversal of 2220021122000 is 2211200222.

It can be written as a sum of positive squares in 4 ways, for example, as 445999580224 + 1774021541776 = 667832^2 + 1331924^2 .

It is a super-2 number, since 2×22200211220002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220021122009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4344821 + ... + 4828820.

Almost surely, 22220021122000 is an apocalyptic number.

2220021122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220021122000 is an abundant number, since it is smaller than the sum of its proper divisors (3680355328696).

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

2220021122000 is a wasteful number, since it uses less digits than its factorization.

2220021122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9173686 (or 9173659 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2220021122000 its reverse (2211200222), we get a palindrome (2222232322222).

The spelling of 2220021122000 in words is "two trillion, two hundred twenty billion, twenty-one million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 880 968 1000 1100 1210 1375 1936 2000 2200 2420 2750 3025 4400 4840 5500 6050 9680 11000 12100 15125 22000 24200 30250 48400 60500 121000 242000 9173641 18347282 36694564 45868205 73389128 91736410 100910051 146778256 183472820 201820102 229341025 366945640 403640204 458682050 504550255 733891280 807280408 917364100 1009100510 1110010561 1146705125 1614560816 1834728200 2018201020 2220021122 2293410250 2522751275 3669456400 4036402040 4440042244 4586820500 5045502550 5550052805 8072804080 8880084488 9173641000 10091005100 11100105610 12613756375 17760168976 18347282000 20182010200 22200211220 25227512750 27750264025 40364020400 44400422440 50455025500 55500528050 88800844880 100910051000 111001056100 138751320125 201820102000 222002112200 277502640250 444004224400 555005280500 1110010561000 2220021122000