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293032212 = 2231119313769
BaseRepresentation
bin10001011101110…
…101000100010100
3202102101120121220
4101131311010110
51100004012322
645024410340
710155506214
oct2135650424
9672346556
10293032212
11140455490
12821769b0
134892b455
142acbc244
151aad455c
hex11775114

293032212 has 96 divisors (see below), whose sum is σ = 810700800. Its totient is φ = 81388800.

The previous prime is 293032199. The next prime is 293032253. The reversal of 293032212 is 212230392.

It is a super-2 number, since 2×2930322122 = 171735754539225888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 75864 + ... + 79632.

It is an arithmetic number, because the mean of its divisors is an integer number (8444800).

Almost surely, 2293032212 is an apocalyptic number.

293032212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 293032212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405350400).

293032212 is an abundant number, since it is smaller than the sum of its proper divisors (517668588).

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

293032212 is a wasteful number, since it uses less digits than its factorization.

293032212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3837 (or 3835 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 293032212 is about 17118.1836653309. The cubic root of 293032212 is about 664.2095584995.

The spelling of 293032212 in words is "two hundred ninety-three million, thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 19 22 31 33 38 44 57 62 66 76 93 114 124 132 186 209 228 341 372 418 589 627 682 836 1023 1178 1254 1364 1767 2046 2356 2508 3534 3769 4092 6479 7068 7538 11307 12958 15076 19437 22614 25916 38874 41459 45228 71611 77748 82918 116839 124377 143222 165836 214833 233678 248754 286444 350517 429666 467356 497508 701034 787721 859332 1285229 1402068 1575442 2219941 2363163 2570458 3150884 3855687 4439882 4726326 5140916 6659823 7711374 8879764 9452652 13319646 15422748 24419351 26639292 48838702 73258053 97677404 146516106 293032212