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2201201222200 = 235273376140087
BaseRepresentation
bin100000000010000001110…
…100010010001000111000
321210102200111102221112121
4200002001310102020320
5242031030003102300
64403115021251024
7315013550450431
oct40020164221070
97712614387477
102201201222200
11779584783002
122b6735a03a74
1312c7596b50c6
14787782dc488
153c3d1b2e81a
hex20081d12238

2201201222200 has 96 divisors (see below), whose sum is σ = 5189408436960. Its totient is φ = 868166553600.

The previous prime is 2201201222197. The next prime is 2201201222221. The reversal of 2201201222200 is 22221021022.

It is a super-2 number, since 2×22012012222002 (a number of 25 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 23 ways as a sum of consecutive naturals, for example, 54890557 + ... + 54930643.

It is an arithmetic number, because the mean of its divisors is an integer number (54056337885).

Almost surely, 22201201222200 is an apocalyptic number.

2201201222200 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 2201201222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594704218480).

2201201222200 is an abundant number, since it is smaller than the sum of its proper divisors (2988207214760).

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

2201201222200 is a wasteful number, since it uses less digits than its factorization.

2201201222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43937 (or 43928 counting only the distinct ones).

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

Adding to 2201201222200 its reverse (22221021022), we get a palindrome (2223422243222).

The spelling of 2201201222200 in words is "two trillion, two hundred one billion, two hundred one million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1460 1825 2920 3650 3761 7300 7522 14600 15044 18805 30088 37610 40087 75220 80174 94025 150440 160348 188050 200435 274553 320696 376100 400870 549106 752200 801740 1002175 1098212 1372765 1603480 2004350 2196424 2745530 2926351 4008700 5491060 5852702 6863825 8017400 10982120 11705404 13727650 14631755 23410808 27455300 29263510 54910600 58527020 73158775 117054040 146317550 150767207 292635100 301534414 585270200 603068828 753836035 1206137656 1507672070 3015344140 3769180175 6030688280 7538360350 11006006111 15076720700 22012012222 30153441400 44024024444 55030030555 88048048888 110060061110 220120122220 275150152775 440240244440 550300305550 1100600611100 2201201222200