Search a number
-
+
211242442240 = 29582516579
BaseRepresentation
bin1100010010111100000…
…1111101111000000000
3202012020211220220222001
43010233001331320000
511430111031122430
6241013214353344
721155533063354
oct3045701757000
9665224826861
10211242442240
1181650940485
1234b347bb854
1316bc654116b
14a31d261464
1557654533ca
hex312f07de00

211242442240 has 40 divisors (see below), whose sum is σ = 506486768040. Its totient is φ = 84496975872.

The previous prime is 211242442231. The next prime is 211242442273. The reversal of 211242442240 is 42244242112.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 211242442199 and 211242442208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41255730 + ... + 41260849.

It is an arithmetic number, because the mean of its divisors is an integer number (12662169201).

Almost surely, 2211242442240 is an apocalyptic number.

211242442240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211242442240 is an abundant number, since it is smaller than the sum of its proper divisors (295244325800).

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

211242442240 is an frugal number, since it uses more digits than its factorization.

211242442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82516602 (or 82516586 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 211242442240 its reverse (42244242112), we get a palindrome (253486684352).

The spelling of 211242442240 in words is "two hundred eleven billion, two hundred forty-two million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 82516579 165033158 330066316 412582895 660132632 825165790 1320265264 1650331580 2640530528 3300663160 5281061056 6601326320 10562122112 13202652640 21124244224 26405305280 42248488448 52810610560 105621221120 211242442240