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212404992 = 2831931433
BaseRepresentation
bin11001010100100…
…00101100000000
3112210200021212120
430222100230000
5413333424432
633024324240
75156261352
oct1452205400
9483607776
10212404992
11a9996018
125b173680
133500b737
14202d10d2
15139a9c2c
hexca90b00

212404992 has 72 divisors (see below), whose sum is σ = 568632624. Its totient is φ = 70385664.

The previous prime is 212404981. The next prime is 212405003. The reversal of 212404992 is 299404212.

It is an interprime number because it is at equal distance from previous prime (212404981) and next prime (212405003).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147508 + ... + 148940.

Almost surely, 2212404992 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 212404992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284316312).

212404992 is an abundant number, since it is smaller than the sum of its proper divisors (356227632).

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

212404992 is a wasteful number, since it uses less digits than its factorization.

212404992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 212404992 is about 14574.1206252727. The cubic root of 212404992 is about 596.6526490193.

The spelling of 212404992 in words is "two hundred twelve million, four hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 193 256 384 386 579 768 772 1158 1433 1544 2316 2866 3088 4299 4632 5732 6176 8598 9264 11464 12352 17196 18528 22928 24704 34392 37056 45856 49408 68784 74112 91712 137568 148224 183424 275136 276569 366848 550272 553138 829707 1100544 1106276 1659414 2212552 3318828 4425104 6637656 8850208 13275312 17700416 26550624 35400832 53101248 70801664 106202496 212404992