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2205221054124 = 2231159363177983
BaseRepresentation
bin100000000101110001011…
…010101110011010101100
321210211001122110120021110
4200011301122232122230
5242112243042212444
64405021540232020
7315215301453144
oct40056132563254
97724048416243
102205221054124
11780257882250
122b747809b610
1312cc4a45b58a
1478a3a135924
153c5699c0cb9
hex201716ae6ac

2205221054124 has 96 divisors (see below), whose sum is σ = 5710075822080. Its totient is φ = 656733211200.

The previous prime is 2205221054107. The next prime is 2205221054131. The reversal of 2205221054124 is 4214501225022.

It is a junction number, because it is equal to n+sod(n) for n = 2205221054091 and 2205221054100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28239237 + ... + 28317219.

It is an arithmetic number, because the mean of its divisors is an integer number (59479956480).

Almost surely, 22205221054124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2205221054124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855037911040).

2205221054124 is an abundant number, since it is smaller than the sum of its proper divisors (3504854767956).

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

2205221054124 is a wasteful number, since it uses less digits than its factorization.

2205221054124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81691 (or 81689 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 2205221054124 its reverse (4214501225022), we get a palindrome (6419722279146).

The spelling of 2205221054124 in words is "two trillion, two hundred five billion, two hundred twenty-one million, fifty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 236 354 649 708 1298 1947 2596 3631 3894 7262 7788 10893 14524 21786 39941 43572 77983 79882 119823 155966 159764 214229 233949 239646 311932 428458 467898 479292 642687 856916 857813 935796 1285374 1715626 2356519 2570748 2573439 3431252 4600997 4713038 5146878 7069557 9201994 9426076 10293756 13802991 14139114 18403988 27605982 28278228 50610967 55211964 101221934 151832901 202443868 283156273 303665802 566312546 607331604 849468819 1132625092 1698937638 3114719003 3397875276 6229438006 9344157009 12458876012 16706220107 18688314018 33412440214 37376628036 50118660321 66824880428 100237320642 183768421177 200474641284 367536842354 551305263531 735073684708 1102610527062 2205221054124