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212442254144 = 266154416561
BaseRepresentation
bin1100010111011010001…
…0111000101101000000
3202022100110120200110222
43011312202320231000
511440040204113034
6241332234442212
721230342236301
oct3056642705500
9668313520428
10212442254144
118210712896a
123520a593368
1317057c9ab33
14a3d47427a8
1557d595312e
hex31768b8b40

212442254144 has 28 divisors (see below), whose sum is σ = 428476009188. Its totient is φ = 104479795200.

The previous prime is 212442254131. The next prime is 212442254161. The reversal of 212442254144 is 441452244212.

It can be written as a sum of positive squares in 2 ways, for example, as 16618303744 + 195823950400 = 128912^2 + 442520^2 .

It is a super-2 number, since 2×2124422541442 (a number of 23 digits) contains 22 as substring.

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, 27204377 + ... + 27212184.

Almost surely, 2212442254144 is an apocalyptic number.

It is an amenable number.

212442254144 is an abundant number, since it is smaller than the sum of its proper divisors (216033755044).

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

212442254144 is an equidigital number, since it uses as much as digits as its factorization.

212442254144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54416634 (or 54416624 counting only the distinct ones).

The product of its digits is 81920, while the sum is 35.

Adding to 212442254144 its reverse (441452244212), we get a palindrome (653894498356).

The spelling of 212442254144 in words is "two hundred twelve billion, four hundred forty-two million, two hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1952 3904 54416561 108833122 217666244 435332488 870664976 1741329952 3319410221 3482659904 6638820442 13277640884 26555281768 53110563536 106221127072 212442254144