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242105598 = 2347317197
BaseRepresentation
bin11100110111000…
…11110011111110
3121212120020110000
432123203303332
5443434334343
640005055130
75666602140
oct1633436376
9555506400
10242105598
11114731579
12690b74a6
133b20a367
1424222c90
15163c4ed3
hexe6e3cfe

242105598 has 160 divisors (see below), whose sum is σ = 655699968. Its totient is φ = 65318400.

The previous prime is 242105593. The next prime is 242105599. The reversal of 242105598 is 895501242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242105593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2495886 + ... + 2495982.

Almost surely, 2242105598 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242105598, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327849984).

242105598 is an abundant number, since it is smaller than the sum of its proper divisors (413594370).

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

242105598 is a wasteful number, since it uses less digits than its factorization.

242105598 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 242105598 is about 15559.7428641993. The cubic root of 242105598 is about 623.2585961532.

The spelling of 242105598 in words is "two hundred forty-two million, one hundred five thousand, five hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 71 81 93 97 126 142 162 186 189 194 213 217 279 291 378 426 434 497 558 567 582 639 651 679 837 873 994 1134 1278 1302 1358 1491 1674 1746 1917 1953 2037 2201 2511 2619 2982 3007 3834 3906 4074 4402 4473 5022 5238 5751 5859 6014 6111 6603 6887 7857 8946 9021 11502 11718 12222 13206 13419 13774 15407 15714 17577 18042 18333 19809 20661 21049 26838 27063 30814 35154 36666 39618 40257 41322 42098 46221 48209 54126 54999 59427 61983 63147 80514 81189 92442 96418 109998 118854 123966 126294 138663 144627 162378 178281 185949 189441 213497 243567 277326 289254 356562 371898 378882 415989 426994 433881 487134 557847 568323 640491 831978 867762 1115694 1136646 1247967 1280982 1301643 1494479 1704969 1921473 2495934 2603286 2988958 3409938 3842946 3904929 4483437 5764419 7809858 8966874 11528838 13450311 17293257 26900622 34586514 40350933 80701866 121052799 242105598