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212422440 = 23351770187
BaseRepresentation
bin11001010100101…
…00111100101000
3112210201011210210
430222110330220
5413340004230
633024541120
75156363256
oct1452247450
9483634723
10212422440
11a99a813a
125b1817a0
1335016669
14202d75d6
15139aeeb0
hexca94f28

212422440 has 32 divisors (see below), whose sum is σ = 637267680. Its totient is φ = 56645952.

The previous prime is 212422423. The next prime is 212422453. The reversal of 212422440 is 44224212.

It is a super-4 number, since 4×2124224404 (a number of 34 digits) contains 4444 as substring.

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 7 ways as a sum of consecutive naturals, for example, 884974 + ... + 885213.

It is an arithmetic number, because the mean of its divisors is an integer number (19914615).

Almost surely, 2212422440 is an apocalyptic number.

212422440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212422440 is an abundant number, since it is smaller than the sum of its proper divisors (424845240).

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

212422440 is a wasteful number, since it uses less digits than its factorization.

212422440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770201 (or 1770197 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 212422440 is about 14574.7192082729. The cubic root of 212422440 is about 596.6689859083.

Adding to 212422440 its reverse (44224212), we get a palindrome (256646652).

The spelling of 212422440 in words is "two hundred twelve million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1770187 3540374 5310561 7080748 8850935 10621122 14161496 17701870 21242244 26552805 35403740 42484488 53105610 70807480 106211220 212422440