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424224120 = 233517207953
BaseRepresentation
bin11001010010010…
…010010101111000
31002120020211002110
4121102102111320
51332100132440
6110032332320
713340563005
oct3122222570
91076224073
10424224120
111a8510951
12ba0a40a0
1369b735b8
14404ac8ac
152739b080
hex19492578

424224120 has 64 divisors (see below), whose sum is σ = 1347541920. Its totient is φ = 106471424.

The previous prime is 424224109. The next prime is 424224127. The reversal of 424224120 is 21422424.

It is a super-2 number, since 2×4242241202 = 359932207979548800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424224127) 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 15 ways as a sum of consecutive naturals, for example, 101937 + ... + 106016.

Almost surely, 2424224120 is an apocalyptic number.

424224120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424224120 is an abundant number, since it is smaller than the sum of its proper divisors (923317800).

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

424224120 is a wasteful number, since it uses less digits than its factorization.

424224120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207984 (or 207980 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 424224120 is about 20596.7016776959. The cubic root of 424224120 is about 751.3894952586.

Adding to 424224120 its reverse (21422424), we get a palindrome (445646544).

The spelling of 424224120 in words is "four hundred twenty-four million, two hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 207953 415906 623859 831812 1039765 1247718 1663624 2079530 2495436 3119295 3535201 4159060 4990872 6238590 7070402 8318120 10605603 12477180 14140804 17676005 21211206 24954360 28281608 35352010 42422412 53028015 70704020 84844824 106056030 141408040 212112060 424224120