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224635125 = 35311135971
BaseRepresentation
bin11010110001110…
…10100011110101
3120122200122110110
431120322203311
5430001311000
634142413233
75365236621
oct1530724365
9518618413
10224635125
11105889770
1263291219
13377013c0
1421b96181
1514ac3850
hexd63a8f5

224635125 has 128 divisors (see below), whose sum is σ = 452874240. Its totient is φ = 97440000.

The previous prime is 224635109. The next prime is 224635133. The reversal of 224635125 is 521536422.

It is not a de Polignac number, because 224635125 - 24 = 224635109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 224635092 and 224635101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3163840 + ... + 3163910.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 2224635125 is an apocalyptic number.

224635125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

224635125 is an abundant number, since it is smaller than the sum of its proper divisors (228239115).

224635125 is a wasteful number, since it uses less digits than its factorization.

224635125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 224635125 is about 14987.8325651176. The cubic root of 224635125 is about 607.8912448671.

The spelling of 224635125 in words is "two hundred twenty-four million, six hundred thirty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 11 13 15 25 33 39 55 59 65 71 75 125 143 165 177 195 213 275 295 325 355 375 429 649 715 767 781 825 885 923 975 1065 1375 1475 1625 1775 1947 2145 2301 2343 2769 3245 3575 3835 3905 4125 4189 4425 4615 4875 5325 7375 8437 8875 9735 10153 10725 11505 11715 12567 13845 16225 17875 19175 19525 20945 22125 23075 25311 26625 30459 42185 46079 48675 50765 53625 54457 57525 58575 62835 69225 81125 95875 97625 104725 115375 126555 138237 152295 163371 210925 230395 243375 253825 272285 287625 292875 314175 346125 523625 599027 632775 691185 761475 816855 1054625 1151975 1269125 1361425 1570875 1797081 2995135 3163875 3455925 3807375 4084275 5759875 6807125 8985405 14975675 17279625 20421375 44927025 74878375 224635125