Search a number
-
+
2241784440 = 233257889597
BaseRepresentation
bin1000010110011110…
…1110101001111000
312210020022110010100
42011213232221320
514042344100230
61010241115400
7106360565460
oct20547565170
95706273110
102241784440
11a50479915
12526928b60
132995a148c
14173a36ba0
15d1c22660
hex859eea78

2241784440 has 96 divisors (see below), whose sum is σ = 8326637280. Its totient is φ = 512407296.

The previous prime is 2241784397. The next prime is 2241784463. The reversal of 2241784440 is 444871422.

It is a super-2 number, since 2×22417844402 = 10051194950852227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2241784395 and 2241784404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442279 + ... + 447318.

It is an arithmetic number, because the mean of its divisors is an integer number (86735805).

Almost surely, 22241784440 is an apocalyptic number.

2241784440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241784440 is an abundant number, since it is smaller than the sum of its proper divisors (6084852840).

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

2241784440 is a wasteful number, since it uses less digits than its factorization.

2241784440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889621 (or 889614 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The square root of 2241784440 is about 47347.4861001088. The cubic root of 2241784440 is about 1308.7738736159.

The spelling of 2241784440 in words is "two billion, two hundred forty-one million, seven hundred eighty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 889597 1779194 2668791 3558388 4447985 5337582 6227179 7116776 8006373 8895970 10675164 12454358 13343955 16012746 17791940 18681537 21350328 24908716 26687910 31135895 32025492 35583880 37363074 40031865 49817432 53375820 56044611 62271790 64050984 74726148 80063730 93407685 106751640 112089222 124543580 149452296 160127460 186815370 224178444 249087160 280223055 320254920 373630740 448356888 560446110 747261480 1120892220 2241784440