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228024225 = 3252111319373
BaseRepresentation
bin11011001011101…
…01111110100001
3120220001211102200
431211311332201
5431333233400
634343203413
75436113442
oct1545657641
9526054380
10228024225
11107793a80
1264446569
1338319ba0
14223d92c9
1515042b00
hexd975fa1

228024225 has 144 divisors (see below), whose sum is σ = 506425920. Its totient is φ = 96422400.

The previous prime is 228024197. The next prime is 228024287. The reversal of 228024225 is 522420822.

It is not a de Polignac number, because 228024225 - 211 = 228022177 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 611139 + ... + 611511.

Almost surely, 2228024225 is an apocalyptic number.

228024225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

228024225 is an abundant number, since it is smaller than the sum of its proper divisors (278401695).

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

228024225 is a wasteful number, since it uses less digits than its factorization.

228024225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 228024225 is about 15100.4710191437. The cubic root of 228024225 is about 610.9331101108.

The spelling of 228024225 in words is "two hundred twenty-eight million, twenty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 13 15 19 25 33 39 45 55 57 65 75 95 99 117 143 165 171 195 209 225 247 275 285 325 373 429 475 495 585 627 715 741 825 855 975 1045 1119 1235 1287 1425 1865 1881 2145 2223 2475 2717 2925 3135 3357 3575 3705 4103 4275 4849 5225 5595 6175 6435 7087 8151 9325 9405 10725 11115 12309 13585 14547 15675 16785 18525 20515 21261 24245 24453 27975 32175 35435 36927 40755 43641 47025 53339 55575 61545 63783 67925 72735 77957 83925 92131 102575 106305 121225 122265 160017 177175 184635 203775 218205 233871 266695 276393 307725 318915 363675 389785 460655 480051 531525 611325 701613 800085 829179 923175 1013441 1091025 1169355 1333475 1381965 1594575 1948925 2303275 2400255 3040323 3508065 4000425 4145895 5067205 5846775 6909825 9120969 12001275 15201615 17540325 20729475 25336025 45604845 76008075 228024225