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2214231404 = 2272113741677
BaseRepresentation
bin1000001111111010…
…0111110101101100
312201022110121110112
42003332213311230
514013320401104
61003414355152
7105604441100
oct20376476554
95638417415
102214231404
11a3696a910
1251965bab8
132939751c8
14170103900
15ce5cd86e
hex83fa7d6c

2214231404 has 144 divisors (see below), whose sum is σ = 5181037344. Its totient is φ = 817689600.

The previous prime is 2214231359. The next prime is 2214231407. The reversal of 2214231404 is 4041324122.

It is a super-2 number, since 2×22142314042 = 9805641420919622432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2214231404.

It is not an unprimeable number, because it can be changed into a prime (2214231407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3270314 + ... + 3270990.

It is an arithmetic number, because the mean of its divisors is an integer number (35979426).

Almost surely, 22214231404 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 2214231404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590518672).

2214231404 is an abundant number, since it is smaller than the sum of its proper divisors (2966805940).

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

2214231404 is a wasteful number, since it uses less digits than its factorization.

2214231404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2214231404 is about 47055.6203231877. The cubic root of 2214231404 is about 1303.3898520255.

Adding to 2214231404 its reverse (4041324122), we get a palindrome (6255555526).

The spelling of 2214231404 in words is "two billion, two hundred fourteen million, two hundred thirty-one thousand, four hundred four".

Divisors: 1 2 4 7 11 14 22 28 37 41 44 49 74 77 82 98 148 154 164 196 259 287 308 407 451 518 539 574 677 814 902 1036 1078 1148 1354 1517 1628 1804 1813 2009 2156 2708 2849 3034 3157 3626 4018 4739 5698 6068 6314 7252 7447 8036 9478 10619 11396 12628 14894 16687 18956 19943 21238 22099 25049 27757 29788 33173 33374 39886 42476 44198 50098 52129 55514 66346 66748 74333 79772 88396 100196 104258 111028 116809 132692 148666 175343 194299 208516 233618 275539 297332 305327 350686 364903 388598 467236 551078 610654 701372 729806 777196 817663 1027009 1102156 1221308 1227401 1360093 1459612 1635326 1928773 2054018 2137289 2454802 2720186 3270652 3857546 4108036 4274578 4909604 5440372 7189063 7715092 8549156 11297099 13501411 14378126 14961023 22594198 27002822 28756252 29922046 45188396 50323441 54005644 59844092 79079693 100646882 158159386 201293764 316318772 553557851 1107115702 2214231404