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2098220568 = 2333789139191
BaseRepresentation
bin111110100010000…
…0100111000011000
312102020011122111220
41331010010320120
513244121024233
6544112052040
7102665403063
oct17504047030
95366148456
102098220568
11987433194
124a6834020
13275916c42
1415c9458da
15c4314eb3
hex7d104e18

2098220568 has 128 divisors (see below), whose sum is σ = 5515776000. Its totient is φ = 664519680.

The previous prime is 2098220567. The next prime is 2098220573. The reversal of 2098220568 is 8650228902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2098220567) by changing a digit.

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, 10985353 + ... + 10985543.

It is an arithmetic number, because the mean of its divisors is an integer number (43092000).

Almost surely, 22098220568 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 2098220568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757888000).

2098220568 is an abundant number, since it is smaller than the sum of its proper divisors (3417555432).

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

2098220568 is a wasteful number, since it uses less digits than its factorization.

2098220568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 2098220568 is about 45806.3376401126. The cubic root of 2098220568 is about 1280.2173638023.

The spelling of 2098220568 in words is "two billion, ninety-eight million, two hundred twenty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 89 111 139 148 178 191 222 267 278 296 356 382 417 444 534 556 573 712 764 834 888 1068 1112 1146 1528 1668 2136 2292 3293 3336 4584 5143 6586 7067 9879 10286 12371 13172 14134 15429 16999 19758 20572 21201 24742 26344 26549 28268 30858 33998 37113 39516 41144 42402 49484 50997 53098 56536 61716 67996 74226 79032 79647 84804 98968 101994 106196 123432 135992 148452 159294 169608 203988 212392 296904 318588 407976 457727 628963 637176 915454 982313 1257926 1373181 1830908 1886889 1964626 2362861 2515852 2746362 2946939 3661816 3773778 3929252 4725722 5031704 5492724 5893878 7088583 7547556 7858504 9451444 10985448 11787756 14177166 15095112 18902888 23575512 28354332 56708664 87425857 174851714 262277571 349703428 524555142 699406856 1049110284 2098220568