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330323224 = 23711229412
BaseRepresentation
bin10011101100000…
…101010100011000
3212000120011021111
4103230011110120
51134030320344
652435550104
711120462320
oct2354052430
9760504244
10330323224
1115a505800
129275b334
1353586c3a
1431c28280
151deed834
hex13b05518

330323224 has 144 divisors (see below), whose sum is σ = 824972400. Its totient is φ = 121228800.

The previous prime is 330323207. The next prime is 330323237. The reversal of 330323224 is 422323033.

It is a super-2 number, since 2×3303232242 = 218226864627508352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 330323195 and 330323204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8056644 + ... + 8056684.

It is an arithmetic number, because the mean of its divisors is an integer number (5728975).

Almost surely, 2330323224 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 330323224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412486200).

330323224 is an abundant number, since it is smaller than the sum of its proper divisors (494649176).

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

330323224 is a wasteful number, since it uses less digits than its factorization.

330323224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

The square root of 330323224 is about 18174.7963950081. The cubic root of 330323224 is about 691.2678670197.

Adding to 330323224 its reverse (422323033), we get a palindrome (752646257).

The spelling of 330323224 in words is "three hundred thirty million, three hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 29 41 44 56 58 77 82 88 116 121 154 164 203 232 242 287 308 319 328 406 451 484 574 616 638 812 847 902 968 1148 1189 1276 1624 1681 1694 1804 2233 2296 2378 2552 3157 3362 3388 3509 3608 4466 4756 4961 6314 6724 6776 7018 8323 8932 9512 9922 11767 12628 13079 13448 14036 16646 17864 18491 19844 23534 24563 25256 26158 28072 33292 34727 36982 39688 47068 48749 49126 52316 66584 69454 73964 91553 94136 97498 98252 104632 129437 138908 143869 147928 183106 194996 196504 203401 258874 277816 287738 341243 366212 389992 406802 517748 536239 575476 682486 732424 813604 1007083 1035496 1072478 1150952 1364972 1423807 1627208 2014166 2144956 2729944 2847614 3753673 4028332 4289912 5695228 5898629 7507346 8056664 11390456 11797258 15014692 23594516 30029384 41290403 47189032 82580806 165161612 330323224