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412017228 = 223274347809
BaseRepresentation
bin11000100011101…
…110001001001100
31001201021122101100
4120203232021030
51320434022403
6104514543100
713132042260
oct3043561114
91051248340
10412017228
111a1633707
12b5b97a90
136748b39c
143ca120a0
15262892a3
hex188ee24c

412017228 has 144 divisors (see below), whose sum is σ = 1245404160. Its totient is φ = 112396032.

The previous prime is 412017227. The next prime is 412017233. The reversal of 412017228 is 822710214.

It is not an unprimeable number, because it can be changed into a prime (412017227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 508888 + ... + 509696.

It is an arithmetic number, because the mean of its divisors is an integer number (8648640).

Almost surely, 2412017228 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 412017228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622702080).

412017228 is an abundant number, since it is smaller than the sum of its proper divisors (833386932).

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

412017228 is a wasteful number, since it uses less digits than its factorization.

412017228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 412017228 is about 20298.2075070682. The cubic root of 412017228 is about 744.1122576017.

The spelling of 412017228 in words is "four hundred twelve million, seventeen thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 47 63 84 86 94 126 129 141 172 188 252 258 282 301 329 387 423 516 564 602 658 774 809 846 903 987 1204 1316 1548 1618 1692 1806 1974 2021 2427 2709 2961 3236 3612 3948 4042 4854 5418 5663 5922 6063 7281 8084 9708 10836 11326 11844 12126 14147 14562 16989 18189 22652 24252 28294 29124 33978 34787 36378 38023 42441 50967 56588 67956 69574 72756 76046 84882 101934 104361 114069 127323 139148 152092 169764 203868 208722 228138 243509 254646 266161 313083 342207 417444 456276 487018 509292 532322 626166 684414 730527 798483 974036 1064644 1252332 1368828 1461054 1596966 1634989 2191581 2395449 2922108 3193932 3269978 4383162 4790898 4904967 6539956 8766324 9581796 9809934 11444923 14714901 19619868 22889846 29429802 34334769 45779692 58859604 68669538 103004307 137339076 206008614 412017228