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2214544454122 = 2721121321105061
BaseRepresentation
bin100000001110011101001…
…000101011000111101010
321211201010102002100200111
4200032131020223013222
5242240341340012442
64413203033124534
7315665322163300
oct40163510530752
97751112070614
102214544454122
1178420167a700
122b923a55974a
13130aa4c10500
1479282492270
153c91327eb17
hex2039d22b1ea

2214544454122 has 108 divisors (see below), whose sum is σ = 4599233787078. Its totient is φ = 796438843200.

The previous prime is 2214544454117. The next prime is 2214544454137.

2214544454122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 1328161746681 + 886382707441 = 1152459^2 + 941479^2 .

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 53 ways as a sum of consecutive naturals, for example, 1451472 + ... + 2556532.

Almost surely, 22214544454122 is an apocalyptic number.

2214544454122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2214544454122 is an abundant number, since it is smaller than the sum of its proper divisors (2384689332956).

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

2214544454122 is a wasteful number, since it uses less digits than its factorization.

2214544454122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105125 (or 1105094 counting only the distinct ones).

The product of its digits is 409600, while the sum is 40.

The spelling of 2214544454122 in words is "two trillion, two hundred fourteen billion, five hundred forty-four million, four hundred fifty-four thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 121 143 154 169 182 242 286 338 539 637 847 1001 1078 1183 1274 1573 1694 1859 2002 2366 3146 3718 5929 7007 8281 11011 11858 13013 14014 16562 20449 22022 26026 40898 77077 91091 143143 154154 182182 286286 1002001 1105061 2004002 2210122 7735427 12155671 14365793 15470854 24311342 28731586 54147989 85089697 100560551 108295978 133712381 158023723 170179394 186755309 201121102 267424762 316047446 373510618 595627879 703923857 935986667 1106166061 1191255758 1307287163 1407847714 1738260953 1871973334 2054308399 2212332122 2614574326 3476521906 4108616798 6551906669 7743162427 9151010141 12167826671 13103813338 14380158793 15486324854 18302020282 22597392389 24335653342 28760317586 45194784778 85174786697 100661111551 158181746723 170349573394 201322223102 316363493446 1107272227061 2214544454122