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212147440 = 24512172179
BaseRepresentation
bin11001010010100…
…01110011110000
3112210012012120121
430221101303300
5413302204230
633015020024
75154136441
oct1451216360
9483165517
10212147440
11a982a56a
125b06a614
1334c4b43b
14202652c8
151395877a
hexca51cf0

212147440 has 40 divisors (see below), whose sum is σ = 493874640. Its totient is φ = 84750336.

The previous prime is 212147401. The next prime is 212147449. The reversal of 212147440 is 44741212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212147449) 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 7 ways as a sum of consecutive naturals, for example, 96271 + ... + 98449.

It is an arithmetic number, because the mean of its divisors is an integer number (12346866).

Almost surely, 2212147440 is an apocalyptic number.

212147440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212147440 is an abundant number, since it is smaller than the sum of its proper divisors (281727200).

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

212147440 is a wasteful number, since it uses less digits than its factorization.

212147440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 212147440 is about 14565.2820089417. The cubic root of 212147440 is about 596.4113941190.

Adding to 212147440 its reverse (44741212), we get a palindrome (256888652).

The spelling of 212147440 in words is "two hundred twelve million, one hundred forty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1217 2179 2434 4358 4868 6085 8716 9736 10895 12170 17432 19472 21790 24340 34864 43580 48680 87160 97360 174320 2651843 5303686 10607372 13259215 21214744 26518430 42429488 53036860 106073720 212147440