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2245438098 = 236172732
BaseRepresentation
bin1000010111010110…
…1010101010010010
312210111012002000000
42011311222222102
514044313004343
61010451310430
7106433623521
oct20565525222
95714162000
102245438098
11a52544972
12527bab416
1329a2804c7
141743084b8
15d21e4ed3
hex85d6aa92

2245438098 has 126 divisors (see below), whose sum is σ = 5438946159. Its totient is φ = 694801152.

The previous prime is 2245438037. The next prime is 2245438177. The reversal of 2245438098 is 8908345422.

2245438098 is a `hidden beast` number, since 2 + 24 + 543 + 80 + 9 + 8 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 1868573529 + 376864569 = 43227^2 + 19413^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33507.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 30759390 + ... + 30759462.

Almost surely, 22245438098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245438098

2245438098 is an abundant number, since it is smaller than the sum of its proper divisors (3193508061).

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

2245438098 is an frugal number, since it uses more digits than its factorization.

2245438098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 2245438098 is about 47386.0538344353. The cubic root of 2245438098 is about 1309.4845004719.

The spelling of 2245438098 in words is "two billion, two hundred forty-five million, four hundred thirty-eight thousand, ninety-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 73 81 102 146 153 162 219 243 289 306 438 459 486 578 657 729 867 918 1241 1314 1377 1458 1734 1971 2482 2601 2754 3723 3942 4131 5202 5329 5913 7446 7803 8262 10658 11169 11826 12393 15606 15987 17739 21097 22338 23409 24786 31974 33507 35478 42194 46818 47961 53217 63291 67014 70227 90593 95922 100521 106434 126582 140454 143883 181186 189873 201042 210681 271779 287766 301563 379746 421362 431649 543558 569619 603126 815337 863298 904689 1139238 1294947 1540081 1630674 1708857 1809378 2446011 2589894 3080162 3417714 3884841 4620243 4892022 5126571 7338033 7769682 9240486 10253142 13860729 14676066 15379713 22014099 27721458 30759426 41582187 44028198 66042297 83164374 124746561 132084594 249493122 374239683 748479366 1122719049 2245438098