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2302141220 = 2252931612099
BaseRepresentation
bin1000100100110111…
…1110001100100100
312221102212220001122
42021031332030210
514203322004340
61020234513112
7111022606661
oct21115761444
95842786048
102302141220
11a81553855
12542b95798
132a8c44952
1417ba68a68
15d7195db5
hex8937e324

2302141220 has 96 divisors (see below), whose sum is σ = 5249664000. Its totient is φ = 845913600.

The previous prime is 2302141211. The next prime is 2302141223. The reversal of 2302141220 is 221412032.

It is not an unprimeable number, because it can be changed into a prime (2302141223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1095731 + ... + 1097829.

It is an arithmetic number, because the mean of its divisors is an integer number (54684000).

Almost surely, 22302141220 is an apocalyptic number.

2302141220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2302141220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624832000).

2302141220 is an abundant number, since it is smaller than the sum of its proper divisors (2947522780).

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

2302141220 is a wasteful number, since it uses less digits than its factorization.

2302141220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2302141220 is about 47980.6338015662. The cubic root of 2302141220 is about 1320.4156213410.

Adding to 2302141220 its reverse (221412032), we get a palindrome (2523553252).

The spelling of 2302141220 in words is "two billion, three hundred two million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 31 58 61 62 116 122 124 145 155 244 290 305 310 580 610 620 899 1220 1769 1798 1891 2099 3538 3596 3782 4198 4495 7076 7564 8396 8845 8990 9455 10495 17690 17980 18910 20990 35380 37820 41980 54839 60871 65069 109678 121742 128039 130138 219356 243484 256078 260276 274195 304355 325345 512156 548390 608710 640195 650690 1096780 1217420 1280390 1301380 1887001 2560780 3713131 3774002 3969209 7426262 7548004 7938418 9435005 14852524 15876836 18565655 18870010 19846045 37131310 37740020 39692090 74262620 79384180 115107061 230214122 460428244 575535305 1151070610 2302141220