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434201224212 = 223277921810389
BaseRepresentation
bin1100101000110000110…
…10001110010000010100
31112111202020012120112200
412110120122032100110
524103221003133322
6531245211044500
743240624336650
oct6243032162024
91474666176480
10434201224212
111581642a9358
1270199140730
1331c3921a412
1417030581a60
15b4642948ac
hex651868e414

434201224212 has 72 divisors (see below), whose sum is σ = 1270237113600. Its totient is φ = 122487139008.

The previous prime is 434201224207. The next prime is 434201224217. The reversal of 434201224212 is 212422102434.

It is a happy number.

434201224212 is a `hidden beast` number, since 4 + 3 + 420 + 1 + 2 + 24 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (434201224207) and next prime (434201224217).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434201224217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10885287 + ... + 10925102.

Almost surely, 2434201224212 is an apocalyptic number.

434201224212 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

434201224212 is an abundant number, since it is smaller than the sum of its proper divisors (836035889388).

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

434201224212 is a wasteful number, since it uses less digits than its factorization.

434201224212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21810485 (or 21810480 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 434201224212 its reverse (212422102434), we get a palindrome (646623326646).

The spelling of 434201224212 in words is "four hundred thirty-four billion, two hundred one million, two hundred twenty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 79 84 126 158 237 252 316 474 553 711 948 1106 1422 1659 2212 2844 3318 4977 6636 9954 19908 21810389 43620778 65431167 87241556 130862334 152672723 196293501 261724668 305345446 392587002 458018169 610690892 785174004 916036338 1374054507 1723020731 1832072676 2748109014 3446041462 5169062193 5496218028 6892082924 10338124386 12061145117 15507186579 20676248772 24122290234 31014373158 36183435351 48244580468 62028746316 72366870702 108550306053 144733741404 217100612106 434201224212