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228240324 = 2232132967251
BaseRepresentation
bin11011001101010…
…10101111000100
3120220110210212100
431212222233010
5431412142244
634351552100
75441003454
oct1546525704
9526423770
10228240324
11107921374
126452b630
1338394360
1422453d64
1515086b69
hexd9aabc4

228240324 has 144 divisors (see below), whose sum is σ = 654937920. Its totient is φ = 66528000.

The previous prime is 228240307. The next prime is 228240359. The reversal of 228240324 is 423042822.

228240324 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 909199 + ... + 909449.

It is an arithmetic number, because the mean of its divisors is an integer number (4548180).

Almost surely, 2228240324 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 228240324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327468960).

228240324 is an abundant number, since it is smaller than the sum of its proper divisors (426697596).

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

228240324 is a wasteful number, since it uses less digits than its factorization.

228240324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 228240324 is about 15107.6246974831. The cubic root of 228240324 is about 611.1260433401.

The spelling of 228240324 in words is "two hundred twenty-eight million, two hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 67 78 87 116 117 134 156 174 201 234 251 261 268 348 377 402 468 502 522 603 753 754 804 871 1004 1044 1131 1206 1506 1508 1742 1943 2259 2262 2412 2613 3012 3263 3393 3484 3886 4518 4524 5226 5829 6526 6786 7279 7772 7839 9036 9789 10452 11658 13052 13572 14558 15678 16817 17487 19578 21837 23316 25259 29116 29367 31356 33634 34974 39156 43674 50451 50518 58734 65511 67268 69948 75777 87348 94627 100902 101036 117468 131022 151353 151554 189254 201804 218621 227331 262044 283881 302706 303108 378508 437242 454662 487693 567762 605412 655863 851643 874484 909324 975386 1135524 1311726 1463079 1703286 1950772 1967589 2623452 2926158 3406572 3935178 4389237 5852316 6340009 7870356 8778474 12680018 17556948 19020027 25360036 38040054 57060081 76080108 114120162 228240324