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2243741148 = 223411718867
BaseRepresentation
bin1000010110111100…
…1100010111011100
312210100222212020000
42011233030113130
514043344204043
61010351054300
7106413325245
oct20557142734
95710885200
102243741148
11a51595a30
12527511390
13299b07cac
14173dc5ccc
15d1eac2d3
hex85bcc5dc

2243741148 has 120 divisors (see below), whose sum is σ = 6489673344. Its totient is φ = 670269600.

The previous prime is 2243741147. The next prime is 2243741189. The reversal of 2243741148 is 8411473422.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243741147) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 248611 + ... + 257477.

Almost surely, 22243741148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2243741148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244836672).

2243741148 is an abundant number, since it is smaller than the sum of its proper divisors (4245932196).

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

2243741148 is a wasteful number, since it uses less digits than its factorization.

2243741148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8965 (or 8954 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 2243741148 is about 47368.1448655106. The cubic root of 2243741148 is about 1309.1545441131.

It can be divided in two parts, 224374 and 1148, that added together give a palindrome (225522).

The spelling of 2243741148 in words is "two billion, two hundred forty-three million, seven hundred forty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 71 81 99 108 132 142 162 198 213 284 297 324 396 426 594 639 781 852 891 1188 1278 1562 1782 1917 2343 2556 3124 3564 3834 4686 5751 7029 7668 8867 9372 11502 14058 17734 21087 23004 26601 28116 35468 42174 53202 63261 79803 84348 97537 106404 126522 159606 195074 239409 253044 292611 319212 390148 478818 585222 629557 718227 877833 957636 1170444 1259114 1436454 1755666 1888671 2518228 2633499 2872908 3511332 3777342 5266998 5666013 6925127 7554684 7900497 10533996 11332026 13850254 15800994 16998039 20775381 22664052 27700508 31601988 33996078 41550762 50994117 62326143 67992156 83101524 101988234 124652286 186978429 203976468 249304572 373956858 560935287 747913716 1121870574 2243741148