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223104042 = 232719412273
BaseRepresentation
bin11010100110001…
…00110000101010
3120112210212012200
431103010300222
5424103312132
634045521030
75346232050
oct1523046052
9515725180
10223104042
11104a33407
1262873176
13372b6535
14218b81d0
15148bed7c
hexd4c4c2a

223104042 has 96 divisors (see below), whose sum is σ = 595969920. Its totient is φ = 58890240.

The previous prime is 223104031. The next prime is 223104053. The reversal of 223104042 is 240401322.

It is an interprime number because it is at equal distance from previous prime (223104031) and next prime (223104053).

It is a super-3 number, since 3×2231040423 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97018 + ... + 99290.

It is an arithmetic number, because the mean of its divisors is an integer number (6208020).

Almost surely, 2223104042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223104042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297984960).

223104042 is an abundant number, since it is smaller than the sum of its proper divisors (372865878).

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

223104042 is a wasteful number, since it uses less digits than its factorization.

223104042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 223104042 is about 14936.6677006620. The cubic root of 223104042 is about 606.5069932931.

Adding to 223104042 its reverse (240401322), we get a palindrome (463505364).

The spelling of 223104042 in words is "two hundred twenty-three million, one hundred four thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 41 42 57 63 82 114 123 126 133 171 246 266 287 342 369 399 574 738 779 798 861 1197 1558 1722 2273 2337 2394 2583 4546 4674 5166 5453 6819 7011 10906 13638 14022 15911 16359 20457 31822 32718 40914 43187 47733 49077 86374 93193 95466 98154 129561 143199 186386 259122 279579 286398 302309 388683 559158 604618 652351 777366 838737 906927 1304702 1677474 1770667 1813854 1957053 2720781 3541334 3914106 5312001 5441562 5871159 10624002 11742318 12394669 15936003 24789338 31872006 37184007 74368014 111552021 223104042