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211240146 = 23136783487
BaseRepresentation
bin11001001011101…
…00010011010010
3112201111010000010
430211310103102
5413034141041
632543335350
75143340325
oct1445642322
9481433003
10211240146
11a926a937
125a8b1556
13349c1490
14200aa7bc
1513829a16
hexc9744d2

211240146 has 64 divisors (see below), whose sum is σ = 468292608. Its totient is φ = 63125568.

The previous prime is 211240121. The next prime is 211240151. The reversal of 211240146 is 641042112.

It is a happy number.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 433515 + ... + 434001.

It is an arithmetic number, because the mean of its divisors is an integer number (7317072).

Almost surely, 2211240146 is an apocalyptic number.

211240146 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211240146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234146304).

211240146 is an abundant number, since it is smaller than the sum of its proper divisors (257052462).

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

211240146 is a wasteful number, since it uses less digits than its factorization.

211240146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 211240146 is about 14534.1028618900. The cubic root of 211240146 is about 595.5599521165.

Adding to 211240146 its reverse (641042112), we get a palindrome (852282258).

The spelling of 211240146 in words is "two hundred eleven million, two hundred forty thousand, one hundred forty-six".

Divisors: 1 2 3 6 13 26 39 67 78 83 134 166 201 249 402 487 498 871 974 1079 1461 1742 2158 2613 2922 3237 5226 5561 6331 6474 11122 12662 16683 18993 32629 33366 37986 40421 65258 72293 80842 97887 121263 144586 195774 216879 242526 424177 433758 525473 848354 1050946 1272531 1576419 2545062 2708207 3152838 5416414 8124621 16249242 35206691 70413382 105620073 211240146