Search a number
-
+
2290484240 = 2451111092347
BaseRepresentation
bin1000100010000110…
…0000010000010000
312220121221122200122
42020201200100100
514142330443430
61015141005412
7110521536422
oct21041402020
95817848618
102290484240
11a75a11790
1253b0b3868
132a66c2b25
1417a2b2812
15d6141ee5
hex88860410

2290484240 has 80 divisors (see below), whose sum is σ = 5817216960. Its totient is φ = 831797760.

The previous prime is 2290484213. The next prime is 2290484249. The reversal of 2290484240 is 424840922.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2290484240.

It is not an unprimeable number, because it can be changed into a prime (2290484249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 974747 + ... + 977093.

It is an arithmetic number, because the mean of its divisors is an integer number (72715212).

Almost surely, 22290484240 is an apocalyptic number.

2290484240 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 2290484240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908608480).

2290484240 is an abundant number, since it is smaller than the sum of its proper divisors (3526732720).

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

2290484240 is a wasteful number, since it uses less digits than its factorization.

2290484240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 2290484240 is about 47859.0037506006. The cubic root of 2290484240 is about 1318.1831907801.

The spelling of 2290484240 in words is "two billion, two hundred ninety million, four hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1109 2218 2347 4436 4694 5545 8872 9388 11090 11735 12199 17744 18776 22180 23470 24398 25817 37552 44360 46940 48796 51634 60995 88720 93880 97592 103268 121990 129085 187760 195184 206536 243980 258170 413072 487960 516340 975920 1032680 2065360 2602823 5205646 10411292 13014115 20822584 26028230 28631053 41645168 52056460 57262106 104112920 114524212 143155265 208225840 229048424 286310530 458096848 572621060 1145242120 2290484240