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211423140 = 223259712109
BaseRepresentation
bin11001001101000…
…00111110100100
3112201211102000200
430212200332210
5413111020030
632551310500
75145031665
oct1446407644
9481742020
10211423140
11a9385375
125a97b430
1334a56866
142011736c
1513863d60
hexc9a0fa4

211423140 has 72 divisors (see below), whose sum is σ = 647981880. Its totient is φ = 55793664.

The previous prime is 211423109. The next prime is 211423141. The reversal of 211423140 is 41324112.

It can be written as a sum of positive squares in 4 ways, for example, as 79816356 + 131606784 = 8934^2 + 11472^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (211423141) 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 23 ways as a sum of consecutive naturals, for example, 11406 + ... + 23514.

Almost surely, 2211423140 is an apocalyptic number.

211423140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211423140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323990940).

211423140 is an abundant number, since it is smaller than the sum of its proper divisors (436558740).

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

211423140 is a wasteful number, since it uses less digits than its factorization.

211423140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12221 (or 12216 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 211423140 is about 14540.3968308984. The cubic root of 211423140 is about 595.7318772055.

Adding to 211423140 its reverse (41324112), we get a palindrome (252747252).

The spelling of 211423140 in words is "two hundred eleven million, four hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 582 873 970 1164 1455 1746 1940 2910 3492 4365 5820 8730 12109 17460 24218 36327 48436 60545 72654 108981 121090 145308 181635 217962 242180 363270 435924 544905 726540 1089810 1174573 2179620 2349146 3523719 4698292 5872865 7047438 10571157 11745730 14094876 17618595 21142314 23491460 35237190 42284628 52855785 70474380 105711570 211423140