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2241505420 = 2257111785619
BaseRepresentation
bin1000010110011010…
…1010100010001100
312210012210021101021
42011212222202030
514042311133140
61010231123524
7106355324140
oct20546524214
95705707337
102241505420
11a502a9220
125268135a4
1329950448b
141739a3220
15d1bb9b4a
hex859aa88c

2241505420 has 96 divisors (see below), whose sum is σ = 6213957120. Its totient is φ = 657546240.

The previous prime is 2241505397. The next prime is 2241505447. The reversal of 2241505420 is 245051422.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16630 + ... + 68989.

It is an arithmetic number, because the mean of its divisors is an integer number (64728720).

Almost surely, 22241505420 is an apocalyptic number.

2241505420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241505420 is an abundant number, since it is smaller than the sum of its proper divisors (3972451700).

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

2241505420 is a wasteful number, since it uses less digits than its factorization.

2241505420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85663 (or 85661 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 2241505420 is about 47344.5394950674. The cubic root of 2241505420 is about 1308.7195732364.

Adding to 2241505420 its reverse (245051422), we get a palindrome (2486556842).

The spelling of 2241505420 in words is "two billion, two hundred forty-one million, five hundred five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 28 34 35 44 55 68 70 77 85 110 119 140 154 170 187 220 238 308 340 374 385 476 595 748 770 935 1190 1309 1540 1870 2380 2618 3740 5236 6545 13090 26180 85619 171238 342476 428095 599333 856190 941809 1198666 1455523 1712380 1883618 2397332 2911046 2996665 3767236 4709045 5822092 5993330 6592663 7277615 9418090 10188661 11986660 13185326 14555230 16010753 18836180 20377322 26370652 29110460 32021506 32963315 40754644 50943305 64043012 65926630 80053765 101886610 112075271 131853260 160107530 203773220 224150542 320215060 448301084 560376355 1120752710 2241505420