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2246730640 = 245711569641
BaseRepresentation
bin1000010111101010…
…0110001110010000
312210120121202000221
42011322212032100
514100130340030
61010535122424
7106450616050
oct20572461620
95716552027
102246730640
11a53247a90
12528513414
1329a61391b
14174563560
15d239ce7a
hex85ea6390

2246730640 has 160 divisors (see below), whose sum is σ = 6534224640. Its totient is φ = 697958400.

The previous prime is 2246730623. The next prime is 2246730671. The reversal of 2246730640 is 460376422.

It is a junction number, because it is equal to n+sod(n) for n = 2246730596 and 2246730605.

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, 3504720 + ... + 3505360.

It is an arithmetic number, because the mean of its divisors is an integer number (40838904).

Almost surely, 22246730640 is an apocalyptic number.

2246730640 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 2246730640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267112320).

2246730640 is an abundant number, since it is smaller than the sum of its proper divisors (4287494000).

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

2246730640 is a wasteful number, since it uses less digits than its factorization.

2246730640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 2246730640 is about 47399.6902943469. The cubic root of 2246730640 is about 1309.7357118884.

The spelling of 2246730640 in words is "two billion, two hundred forty-six million, seven hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 569 616 641 770 880 1138 1232 1282 1540 2276 2564 2845 3080 3205 3983 4487 4552 5128 5690 6160 6259 6410 7051 7966 8974 9104 10256 11380 12518 12820 14102 15932 17948 19915 22435 22760 25036 25640 28204 31295 31864 35255 35896 39830 43813 44870 45520 49357 50072 51280 56408 62590 63728 70510 71792 79660 87626 89740 98714 100144 112816 125180 141020 159320 175252 179480 197428 219065 246785 250360 282040 318640 350504 358960 364729 394856 438130 493570 500720 564080 701008 729458 789712 876260 987140 1458916 1752520 1823645 1974280 2553103 2917832 3505040 3647290 3948560 4012019 5106206 5835664 7294580 8024038 10212412 12765515 14589160 16048076 20060095 20424824 25531030 28084133 29178320 32096152 40120190 40849648 51062060 56168266 64192304 80240380 102124120 112336532 140420665 160480760 204248240 224673064 280841330 320961520 449346128 561682660 1123365320 2246730640