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2183442048 = 27331135591
BaseRepresentation
bin1000001000100100…
…1010111010000000
312122011112100102000
42002021022322000
513432430121143
61000354424000
7105051644154
oct20211127200
95564470360
102183442048
11a20550367
1250b292000
1328a484b58
14169dab064
15cba4abd3
hex8224ae80

2183442048 has 128 divisors (see below), whose sum is σ = 6502377600. Its totient is φ = 721244160.

The previous prime is 2183442047. The next prime is 2183442061. The reversal of 2183442048 is 8402443812.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (2183442047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387733 + ... + 393323.

It is an arithmetic number, because the mean of its divisors is an integer number (50799825).

Almost surely, 22183442048 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 2183442048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251188800).

2183442048 is an abundant number, since it is smaller than the sum of its proper divisors (4318935552).

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

2183442048 is a wasteful number, since it uses less digits than its factorization.

2183442048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5727 (or 5709 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2183442048 is about 46727.3158655620. The cubic root of 2183442048 is about 1297.3203279560.

The spelling of 2183442048 in words is "two billion, one hundred eighty-three million, four hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 113 128 144 192 216 226 288 339 384 432 452 576 678 864 904 1017 1152 1356 1728 1808 2034 2712 3051 3456 3616 4068 5424 5591 6102 7232 8136 10848 11182 12204 14464 16272 16773 21696 22364 24408 32544 33546 43392 44728 48816 50319 65088 67092 89456 97632 100638 130176 134184 150957 178912 195264 201276 268368 301914 357824 390528 402552 536736 603828 631783 715648 805104 1073472 1207656 1263566 1610208 1895349 2146944 2415312 2527132 3220416 3790698 4830624 5054264 5686047 6440832 7581396 9661248 10108528 11372094 15162792 17058141 19322496 20217056 22744188 30325584 34116282 40434112 45488376 60651168 68232564 80868224 90976752 121302336 136465128 181953504 242604672 272930256 363907008 545860512 727814016 1091721024 2183442048