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202220001002220 = 223514936776151669
BaseRepresentation
bin101101111110101100000011…
…010100111000001011101100
3222112000001011120011210001220
4231332230003110320023230
5203001133030224032340
61554030330323303340
760410625065426445
oct5576540324701354
9875001146153056
10202220001002220
1159485025779333
121a81b71121ab50
1388ab3587ab276
1437d1700a5c2cc
15185a3163a8ed0
hexb7eb035382ec

202220001002220 has 96 divisors (see below), whose sum is σ = 570171224952000. Its totient is φ = 53548842753024.

The previous prime is 202220001002171. The next prime is 202220001002233. The reversal of 202220001002220 is 22200100022202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202220001002220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29796546 + ... + 35948214.

It is an arithmetic number, because the mean of its divisors is an integer number (5939283593250).

Almost surely, 2202220001002220 is an apocalyptic number.

202220001002220 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 202220001002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285085612476000).

202220001002220 is an abundant number, since it is smaller than the sum of its proper divisors (367951223949780).

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

202220001002220 is a wasteful number, since it uses less digits than its factorization.

202220001002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6155507 (or 6155505 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 202220001002220 its reverse (22200100022202), we get a palindrome (224420101024422).

The spelling of 202220001002220 in words is "two hundred two trillion, two hundred twenty billion, one million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 596 745 894 1490 1788 2235 2980 3677 4470 7354 8940 11031 14708 18385 22062 36770 44124 55155 73540 110310 220620 547873 1095746 1643619 2191492 2739365 3287238 5478730 6151669 6574476 8218095 10957460 12303338 16436190 18455007 24606676 30758345 32872380 36910014 61516690 73820028 92275035 123033380 184550070 369100140 916598681 1833197362 2749796043 3666394724 4582993405 5499592086 9165986810 10999184172 13748980215 18331973620 22619686913 27497960430 45239373826 54995920860 67859060739 90478747652 113098434565 135718121478 226196869130 271436242956 339295303695 452393738260 678590607390 1357181214780 3370333350037 6740666700074 10111000050111 13481333400148 16851666750185 20222000100222 33703333500370 40444000200444 50555000250555 67406667000740 101110000501110 202220001002220