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332330232 = 2331347131173
BaseRepresentation
bin10011110011101…
…111010011111000
3212011100010101010
4103303233103320
51140034031412
652550553520
711143521543
oct2363572370
9764303333
10332330232
11160656693
12933688a0
1353b0a610
14321cb85a
151e29833c
hex13cef4f8

332330232 has 128 divisors (see below), whose sum is σ = 926069760. Its totient is φ = 98741760.

The previous prime is 332330179. The next prime is 332330233. The reversal of 332330232 is 232033233.

It is a super-2 number, since 2×3323302322 = 220886766202347648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332330199 and 332330208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332330233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1920898 + ... + 1921070.

It is an arithmetic number, because the mean of its divisors is an integer number (7234920).

Almost surely, 2332330232 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 332330232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463034880).

332330232 is an abundant number, since it is smaller than the sum of its proper divisors (593739528).

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

332330232 is a wasteful number, since it uses less digits than its factorization.

332330232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 21.

The square root of 332330232 is about 18229.9268237698. The cubic root of 332330232 is about 692.6650638945.

Adding to 332330232 its reverse (232033233), we get a palindrome (564363465).

The spelling of 332330232 in words is "three hundred thirty-two million, three hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 104 131 141 156 173 188 262 282 312 346 376 393 519 524 564 611 692 786 1038 1048 1128 1222 1384 1572 1703 1833 2076 2249 2444 3144 3406 3666 4152 4498 4888 5109 6157 6747 6812 7332 8131 8996 10218 12314 13494 13624 14664 16262 17992 18471 20436 22663 24393 24628 26988 32524 36942 40872 45326 48786 49256 53976 65048 67989 73884 80041 90652 97572 105703 135978 147768 160082 181304 195144 211406 240123 271956 294619 317109 320164 422812 480246 543912 589238 634218 640328 845624 883857 960492 1065161 1178476 1268436 1767714 1920984 2130322 2356952 2536872 3195483 3535428 4260644 6390966 7070856 8521288 12781932 13847093 25563864 27694186 41541279 55388372 83082558 110776744 166165116 332330232