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223125004404 = 223423157190711
BaseRepresentation
bin1100111111001101001…
…0010110000001110100
3210022220222001121220000
43033303102112001310
512123430000120104
6250300251111300
722056150146631
oct3176322260164
9708828047800
10223125004404
1186699280295
12372b0142530
131806b268033
14ab2942d188
155c0d727639
hex33f3496074

223125004404 has 120 divisors (see below), whose sum is σ = 612533378688. Its totient is φ = 70687805760.

The previous prime is 223125004363. The next prime is 223125004409. The reversal of 223125004404 is 404400521322.

223125004404 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 250 + 0 + 4 + 404 = 666.

223125004404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231250044043 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223125004409) 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 39 ways as a sum of consecutive naturals, for example, 1074609 + ... + 1265319.

Almost surely, 2223125004404 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 223125004404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306266689344).

223125004404 is an abundant number, since it is smaller than the sum of its proper divisors (389408374284).

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

223125004404 is a wasteful number, since it uses less digits than its factorization.

223125004404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190907 (or 190896 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 223125004404 its reverse (404400521322), we get a palindrome (627525525726).

The spelling of 223125004404 in words is "two hundred twenty-three billion, one hundred twenty-five million, four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 157 162 207 276 314 324 414 471 621 628 828 942 1242 1413 1863 1884 2484 2826 3611 3726 4239 5652 7222 7452 8478 10833 12717 14444 16956 21666 25434 32499 43332 50868 64998 97497 129996 190711 194994 292491 381422 389988 572133 584982 762844 1144266 1169964 1716399 2288532 3432798 4386353 5149197 6865596 8772706 10298394 13159059 15447591 17545412 20596788 26318118 29941627 30895182 39477177 52636236 59883254 61790364 78954354 89824881 118431531 119766508 157908708 179649762 236863062 269474643 355294593 359299524 473726124 538949286 688657421 710589186 808423929 1077898572 1377314842 1421178372 1616847858 2065972263 2425271787 2754629684 3233695716 4131944526 4850543574 6197916789 8263889052 9701087148 12395833578 18593750367 24791667156 37187500734 55781251101 74375001468 111562502202 223125004404