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12422352 = 2431953257
BaseRepresentation
bin101111011000…
…110011010000
3212101010021010
4233120303100
511140003402
61122130520
7210405525
oct57306320
925333233
1012422352
117015108
1241b0a40
13275c307
14191514c
151155a6c
hexbd8cd0

12422352 has 80 divisors (see below), whose sum is σ = 34551360. Its totient is φ = 3833856.

The previous prime is 12422341. The next prime is 12422363. The reversal of 12422352 is 25322421.

12422352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12422341) and next prime (12422363).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48208 + ... + 48464.

It is an arithmetic number, because the mean of its divisors is an integer number (431892).

Almost surely, 212422352 is an apocalyptic number.

12422352 is a gapful number since it is divisible by the number (12) 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 12422352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17275680).

12422352 is an abundant number, since it is smaller than the sum of its proper divisors (22129008).

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

12422352 is a wasteful number, since it uses less digits than its factorization.

12422352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 334 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 12422352 is about 3524.5357141048. The cubic root of 12422352 is about 231.5978964196.

Adding to 12422352 its reverse (25322421), we get a palindrome (37744773).

The spelling of 12422352 in words is "twelve million, four hundred twenty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 53 57 76 106 114 152 159 212 228 257 304 318 424 456 514 636 771 848 912 1007 1028 1272 1542 2014 2056 2544 3021 3084 4028 4112 4883 6042 6168 8056 9766 12084 12336 13621 14649 16112 19532 24168 27242 29298 39064 40863 48336 54484 58596 78128 81726 108968 117192 163452 217936 234384 258799 326904 517598 653808 776397 1035196 1552794 2070392 3105588 4140784 6211176 12422352