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2141353422 = 235131719937
BaseRepresentation
bin111111110100010…
…0111010111001110
312112020100000200000
41333220213113032
513341141302142
6552252345130
7104031126615
oct17750472716
95466300600
102141353422
119a981357a
124b91751a6
13281839740
1416457287c
15c7ed514c
hex7fa275ce

2141353422 has 96 divisors (see below), whose sum is σ = 5486618592. Its totient is φ = 620089344.

The previous prime is 2141353391. The next prime is 2141353441. The reversal of 2141353422 is 2243531412.

It is a super-2 number, since 2×21413534222 = 9170788955822220168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97438 + ... + 117374.

It is an arithmetic number, because the mean of its divisors is an integer number (57152277).

Almost surely, 22141353422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141353422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743309296).

2141353422 is an abundant number, since it is smaller than the sum of its proper divisors (3345265170).

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

2141353422 is a wasteful number, since it uses less digits than its factorization.

2141353422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19984 (or 19972 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2141353422 is about 46274.7600966229. The cubic root of 2141353422 is about 1288.9303518166.

Adding to 2141353422 its reverse (2243531412), we get a palindrome (4384884834).

The spelling of 2141353422 in words is "two billion, one hundred forty-one million, three hundred fifty-three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 81 102 117 153 162 221 234 243 306 351 442 459 486 663 702 918 1053 1326 1377 1989 2106 2754 3159 3978 4131 5967 6318 8262 11934 17901 19937 35802 39874 53703 59811 107406 119622 179433 259181 338929 358866 518362 538299 677858 777543 1016787 1076598 1555086 1614897 2033574 2332629 3050361 3229794 4406077 4665258 4844691 6100722 6997887 8812154 9151083 9689382 13218231 13995774 18302166 20993661 26436462 27453249 39654693 41987322 54906498 62980983 79309386 82359747 118964079 125961966 164719494 237928158 356892237 713784474 1070676711 2141353422