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2291461940 = 2251922313799
BaseRepresentation
bin1000100010010100…
…1110111100110100
312220200210022211202
42020211032330310
514143103240230
61015213552032
7110533051025
oct21045167464
95820708752
102291461940
11a7651a2a9
1253b4a5618
132a6975b51
1417a488c4c
15d6286a45
hex8894ef34

2291461940 has 72 divisors (see below), whose sum is σ = 5299862400. Its totient is φ = 830529216.

The previous prime is 2291461903. The next prime is 2291462021. The reversal of 2291461940 is 491641922.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 2291461894 and 2291461903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159161 + ... + 172959.

It is an arithmetic number, because the mean of its divisors is an integer number (73609200).

Almost surely, 22291461940 is an apocalyptic number.

2291461940 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 2291461940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649931200).

2291461940 is an abundant number, since it is smaller than the sum of its proper divisors (3008400460).

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

2291461940 is a wasteful number, since it uses less digits than its factorization.

2291461940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13869 (or 13848 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 2291461940 is about 47869.2170397637. The cubic root of 2291461940 is about 1318.3707209033.

The spelling of 2291461940 in words is "two billion, two hundred ninety-one million, four hundred sixty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 361 380 437 460 722 874 1444 1748 1805 2185 3610 4370 7220 8303 8740 13799 16606 27598 33212 41515 55196 68995 83030 137990 166060 262181 275980 317377 524362 634754 1048724 1269508 1310905 1586885 2621810 3173770 4981439 5243620 6030163 6347540 9962878 12060326 19925756 24120652 24907195 30150815 49814390 60301630 99628780 114573097 120603260 229146194 458292388 572865485 1145730970 2291461940