Search a number
-
+
2289936040 = 2357171393461
BaseRepresentation
bin1000100001111101…
…1010011010101000
312220120220210200221
42020133122122220
514142210423130
61015121135424
7110514064240
oct21037323250
95816823627
102289936040
11a75677927
1253aa8a574
132a6560452
1417a1acb20
15d608487a
hex887da6a8

2289936040 has 128 divisors (see below), whose sum is σ = 6281452800. Its totient is φ = 733409280.

The previous prime is 2289936037. The next prime is 2289936043. The reversal of 2289936040 is 406399822.

It is an interprime number because it is at equal distance from previous prime (2289936037) and next prime (2289936043).

It is not an unprimeable number, because it can be changed into a prime (2289936043) 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, 659910 + ... + 663370.

It is an arithmetic number, because the mean of its divisors is an integer number (49073850).

Almost surely, 22289936040 is an apocalyptic number.

2289936040 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 2289936040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140726400).

2289936040 is an abundant number, since it is smaller than the sum of its proper divisors (3991516760).

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

2289936040 is a wasteful number, since it uses less digits than its factorization.

2289936040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635 (or 3631 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 2289936040 is about 47853.2761678864. The cubic root of 2289936040 is about 1318.0780185970.

The spelling of 2289936040 in words is "two billion, two hundred eighty-nine million, nine hundred thirty-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 139 140 170 238 278 280 340 476 556 595 680 695 952 973 1112 1190 1390 1946 2363 2380 2780 3461 3892 4726 4760 4865 5560 6922 7784 9452 9730 11815 13844 16541 17305 18904 19460 23630 24227 27688 33082 34610 38920 47260 48454 58837 66164 69220 82705 94520 96908 117674 121135 132328 138440 165410 193816 235348 242270 294185 330820 411859 470696 481079 484540 588370 661640 823718 962158 969080 1176740 1647436 1924316 2059295 2353480 2405395 3294872 3367553 3848632 4118590 4810790 6735106 8178343 8237180 9621580 13470212 16356686 16474360 16837765 19243160 26940424 32713372 33675530 40891715 57248401 65426744 67351060 81783430 114496802 134702120 163566860 228993604 286242005 327133720 457987208 572484010 1144968020 2289936040