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212144040 = 23325589289
BaseRepresentation
bin11001010010100…
…00111110101000
3112210012000220200
430221100332220
5413302102130
633014552200
75154123513
oct1451207650
9483160820
10212144040
11a9827a59
125b068660
1334c49a24
1420263d7a
1513957760
hexca50fa8

212144040 has 48 divisors (see below), whose sum is σ = 689469300. Its totient is φ = 56571648.

The previous prime is 212144039. The next prime is 212144047. The reversal of 212144040 is 40441212.

It can be written as a sum of positive squares in 2 ways, for example, as 204089796 + 8054244 = 14286^2 + 2838^2 .

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 (212144047) 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 11 ways as a sum of consecutive naturals, for example, 294285 + ... + 295004.

Almost surely, 2212144040 is an apocalyptic number.

212144040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212144040 is an abundant number, since it is smaller than the sum of its proper divisors (477325260).

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

212144040 is a wasteful number, since it uses less digits than its factorization.

212144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589306 (or 589299 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 212144040 is about 14565.1652925739. The cubic root of 212144040 is about 596.4082079550.

Adding to 212144040 its reverse (40441212), we get a palindrome (252585252).

The spelling of 212144040 in words is "two hundred twelve million, one hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 589289 1178578 1767867 2357156 2946445 3535734 4714312 5303601 5892890 7071468 8839335 10607202 11785780 14142936 17678670 21214404 23571560 26518005 35357340 42428808 53036010 70714680 106072020 212144040