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212400276 = 2231137157277
BaseRepresentation
bin11001010100011…
…11100010010100
3112210200001101220
430222033202110
5413333302101
633024250340
75156241534
oct1452174224
9483601356
10212400276
11a9992520
125b1709b0
133500954a
14202cd4c4
15139a8636
hexca8f894

212400276 has 96 divisors (see below), whose sum is σ = 560821632. Its totient is φ = 62000640.

The previous prime is 212400257. The next prime is 212400277. The reversal of 212400276 is 672004212.

It is a super-2 number, since 2×2124002762 = 90227754489752352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212400277) 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 31 ways as a sum of consecutive naturals, for example, 766650 + ... + 766926.

It is an arithmetic number, because the mean of its divisors is an integer number (5841892).

Almost surely, 2212400276 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 212400276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280410816).

212400276 is an abundant number, since it is smaller than the sum of its proper divisors (348421356).

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

212400276 is a wasteful number, since it uses less digits than its factorization.

212400276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 212400276 is about 14573.9588307364. The cubic root of 212400276 is about 596.6482331866.

Adding to 212400276 its reverse (672004212), we get a palindrome (884404488).

The spelling of 212400276 in words is "two hundred twelve million, four hundred thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 157 222 277 314 407 444 471 554 628 814 831 942 1108 1221 1628 1662 1727 1884 2442 3047 3324 3454 4884 5181 5809 6094 6908 9141 10249 10362 11618 12188 17427 18282 20498 20724 23236 30747 34854 36564 40996 43489 61494 63899 69708 86978 112739 122988 127798 130467 173956 191697 225478 255596 260934 338217 383394 450956 478379 521868 676434 766788 956758 1352868 1435137 1609093 1913516 2870274 3218186 4827279 5740548 6436372 9654558 17700023 19309116 35400046 53100069 70800092 106200138 212400276