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220201120220000 = 255432257341323
BaseRepresentation
bin110010000100010110010001…
…100011001100001101100000
31001212200000120200021022200012
4302010112101203030031200
5212330233343234020000
62100154555331544052
764245002015113103
oct6204262143141540
91055600520238605
10220201120220000
1164187852807437
122084455175b028
1395b3b519a204a
143c53b10a4673a
151a6ce0a8c6735
hexc845918cc360

220201120220000 has 120 divisors (see below), whose sum is σ = 541746167215176. Its totient is φ = 88077459456000.

The previous prime is 220201120219987. The next prime is 220201120220023. The reversal of 220201120220000 is 22021102022.

It is a super-2 number, since 2×2202011202200002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 644969339 + ... + 645310661.

Almost surely, 2220201120220000 is an apocalyptic number.

220201120220000 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 220201120220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270873083607588).

220201120220000 is an abundant number, since it is smaller than the sum of its proper divisors (321545046995176).

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

220201120220000 is an equidigital number, since it uses as much as digits as its factorization.

220201120220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373610 (or 373587 counting only the distinct ones).

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

Adding to 220201120220000 its reverse (22021102022), we get a palindrome (220223141322022).

The spelling of 220201120220000 in words is "two hundred twenty trillion, two hundred one billion, one hundred twenty million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 32257 64514 129028 161285 258056 322570 341323 516112 645140 682646 806425 1032224 1290280 1365292 1612850 1706615 2580560 2730584 3225700 3413230 4032125 5161120 5461168 6451400 6826460 8064250 8533075 10922336 12902800 13652920 16128500 17066150 20160625 25805600 27305840 32257000 34132300 40321250 42665375 54611680 64514000 68264600 80642500 85330750 129028000 136529200 161285000 170661500 213326875 273058400 322570000 341323000 426653750 645140000 682646000 853307500 1365292000 1706615000 3413230000 6826460000 11010056011 22020112022 44040224044 55050280055 88080448088 110100560110 176160896176 220201120220 275251400275 352321792352 440402240440 550502800550 880804480880 1101005601100 1376257001375 1761608961760 2202011202200 2752514002750 4404022404400 5505028005500 6881285006875 8808044808800 11010056011000 13762570013750 22020112022000 27525140027500 44040224044000 55050280055000 110100560110000 220201120220000