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2235341024 = 25759792141
BaseRepresentation
bin1000010100111100…
…1001100011100000
312202210012002102022
42011033021203200
514034221403044
61005451041012
7106252041140
oct20517114340
95683162368
102235341024
11a47878884
12524740168
132981566c7
14172c3a920
15d139d3ee
hex853c98e0

2235341024 has 96 divisors (see below), whose sum is σ = 5181926400. Its totient is φ = 929410560.

The previous prime is 2235341021. The next prime is 2235341057. The reversal of 2235341024 is 4201435322.

It is a junction number, because it is equal to n+sod(n) for n = 2235340984 and 2235341002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2235341021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1042994 + ... + 1045134.

It is an arithmetic number, because the mean of its divisors is an integer number (53978400).

Almost surely, 22235341024 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 2235341024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590963200).

2235341024 is an abundant number, since it is smaller than the sum of its proper divisors (2946585376).

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

2235341024 is a wasteful number, since it uses less digits than its factorization.

2235341024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 2235341024 is about 47279.3932279170. The cubic root of 2235341024 is about 1307.5187623239.

Adding to 2235341024 its reverse (4201435322), we get a palindrome (6436776346).

The spelling of 2235341024 in words is "two billion, two hundred thirty-five million, three hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 79 112 118 158 224 236 316 413 472 553 632 826 944 1106 1264 1652 1888 2141 2212 2528 3304 4282 4424 4661 6608 8564 8848 9322 13216 14987 17128 17696 18644 29974 32627 34256 37288 59948 65254 68512 74576 119896 126319 130508 149152 169139 239792 252638 261016 338278 479584 505276 522032 676556 884233 1010552 1044064 1183973 1353112 1768466 2021104 2367946 2706224 3536932 4042208 4735892 5412448 7073864 9471784 9979201 14147728 18943568 19958402 28295456 37887136 39916804 69854407 79833608 139708814 159667216 279417628 319334432 558835256 1117670512 2235341024