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2200201221220 = 225414373613577
BaseRepresentation
bin100000000001000110001…
…101100101010001100100
321210100002210202122002021
4200001012031211101210
5242022003003034340
64402431455552524
7314650015543612
oct40010615452144
97710083678067
102200201221220
11779111259512
122b64b6b2b744
1312c62a477652
14786c15906b2
153c373e4ce4a
hex20046365464

2200201221220 has 48 divisors (see below), whose sum is σ = 4734205863408. Its totient is φ = 858417367040.

The previous prime is 2200201221191. The next prime is 2200201221271. The reversal of 2200201221220 is 221221020022.

It can be written as a sum of positive squares in 8 ways, for example, as 210504780864 + 1989696440356 = 458808^2 + 1410566^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2200201221194 and 2200201221203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3279072 + ... + 3892648.

It is an arithmetic number, because the mean of its divisors is an integer number (98629288821).

Almost surely, 22200201221220 is an apocalyptic number.

2200201221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200201221220 is an abundant number, since it is smaller than the sum of its proper divisors (2534004642188).

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

2200201221220 is a wasteful number, since it uses less digits than its factorization.

2200201221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618000 (or 617998 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2200201221220 its reverse (221221020022), we get a palindrome (2421422241242).

The spelling of 2200201221220 in words is "two trillion, two hundred billion, two hundred one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 4373 8746 17492 21865 43730 87460 179293 358586 613577 717172 896465 1227154 1792930 2454308 3067885 3585860 6135770 12271540 25156657 50313314 100626628 125783285 251566570 503133140 2683172221 5366344442 10732688884 13415861105 26831722210 53663444420 110010061061 220020122122 440040244244 550050305305 1100100610610 2200201221220