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210231440 = 2452990617
BaseRepresentation
bin11001000011111…
…10000010010000
3112122120212022122
430201332002100
5412304401230
632505553412
75131636436
oct1441760220
9478525278
10210231440
11a8740aa1
125a4a5868
133472a303
141dcc6d56
15136cabe5
hexc87e090

210231440 has 40 divisors (see below), whose sum is σ = 505648440. Its totient is φ = 81191936.

The previous prime is 210231421. The next prime is 210231467. The reversal of 210231440 is 44132012.

It can be written as a sum of positive squares in 4 ways, for example, as 90022144 + 120209296 = 9488^2 + 10964^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42989 + ... + 47628.

It is an arithmetic number, because the mean of its divisors is an integer number (12641211).

Almost surely, 2210231440 is an apocalyptic number.

210231440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210231440 is an abundant number, since it is smaller than the sum of its proper divisors (295417000).

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

210231440 is a wasteful number, since it uses less digits than its factorization.

210231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90659 (or 90653 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 210231440 is about 14499.3599858752. The cubic root of 210231440 is about 594.6104740439.

Adding to 210231440 its reverse (44132012), we get a palindrome (254363452).

The spelling of 210231440 in words is "two hundred ten million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 90617 181234 362468 453085 724936 906170 1449872 1812340 2627893 3624680 5255786 7249360 10511572 13139465 21023144 26278930 42046288 52557860 105115720 210231440