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212144240 = 24571134439
BaseRepresentation
bin11001010010100…
…01000001110000
3112210012001012002
430221101001300
5413302103430
633014553132
75154124220
oct1451210160
9483161162
10212144240
11a9828120
125b0687a8
1334c49b49
1420264080
1513957845
hexca51070

212144240 has 80 divisors (see below), whose sum is σ = 614960640. Its totient is φ = 66120960.

The previous prime is 212144239. The next prime is 212144243. The reversal of 212144240 is 42441212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212144243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11060 + ... + 23379.

It is an arithmetic number, because the mean of its divisors is an integer number (7687008).

Almost surely, 2212144240 is an apocalyptic number.

212144240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212144240 is an abundant number, since it is smaller than the sum of its proper divisors (402816400).

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

212144240 is a wasteful number, since it uses less digits than its factorization.

212144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34470 (or 34464 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 212144240 is about 14565.1721582685. The cubic root of 212144240 is about 596.4083953774.

Adding to 212144240 its reverse (42441212), we get a palindrome (254585452).

The spelling of 212144240 in words is "two hundred twelve million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 34439 68878 137756 172195 241073 275512 344390 378829 482146 551024 688780 757658 964292 1205365 1377560 1515316 1894145 1928584 2410730 2651803 2755120 3030632 3788290 3857168 4821460 5303606 6061264 7576580 9642920 10607212 13259015 15153160 19285840 21214424 26518030 30306320 42428848 53036060 106072120 212144240