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2243010140 = 2257234714821
BaseRepresentation
bin1000010110110001…
…1001111001011100
312210022121201110122
42011230121321130
514043202311030
61010323254112
7106404162110
oct20554317134
95708551418
102243010140
11a51136798
1252721a338
13299910347
14173c75740
15d1db58e5
hex85b19e5c

2243010140 has 96 divisors (see below), whose sum is σ = 5737181184. Its totient is φ = 719896320.

The previous prime is 2243010137. The next prime is 2243010151. The reversal of 2243010140 is 410103422.

2243010140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143930 + ... + 158750.

It is an arithmetic number, because the mean of its divisors is an integer number (59762304).

Almost surely, 22243010140 is an apocalyptic number.

2243010140 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 2243010140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868590592).

2243010140 is an abundant number, since it is smaller than the sum of its proper divisors (3494171044).

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

2243010140 is a wasteful number, since it uses less digits than its factorization.

2243010140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14907 (or 14905 counting only the distinct ones).

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

The square root of 2243010140 is about 47360.4279963769. The cubic root of 2243010140 is about 1309.0123550442.

Adding to 2243010140 its reverse (410103422), we get a palindrome (2653113562).

The spelling of 2243010140 in words is "two billion, two hundred forty-three million, ten thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 47 70 92 94 115 140 161 188 230 235 322 329 460 470 644 658 805 940 1081 1316 1610 1645 2162 3220 3290 4324 5405 6580 7567 10810 14821 15134 21620 29642 30268 37835 59284 74105 75670 103747 148210 151340 207494 296420 340883 414988 518735 681766 696587 1037470 1363532 1393174 1704415 2074940 2386181 2786348 3408830 3482935 4772362 4876109 6817660 6965870 9544724 9752218 11930905 13931740 16021501 19504436 23861810 24380545 32043002 47723620 48761090 64086004 80107505 97522180 112150507 160215010 224301014 320430020 448602028 560752535 1121505070 2243010140