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224131014440 = 23517329604433
BaseRepresentation
bin1101000010111100111…
…1111101111100101000
3210102112002001020012222
43100233033331330220
512133010014430230
6250544145253212
722123114121534
oct3205717757450
9712462036188
10224131014440
1187065129543
1237531034208
131819b7ca948
14abc2ca2bc4
155c6bbe46e5
hex342f3fdf28

224131014440 has 32 divisors (see below), whose sum is σ = 533959183080. Its totient is φ = 84378734592.

The previous prime is 224131014431. The next prime is 224131014463. The reversal of 224131014440 is 44410131422.

It can be written as a sum of positive squares in 4 ways, for example, as 222102953284 + 2028061156 = 471278^2 + 45034^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164801537 + ... + 164802896.

Almost surely, 2224131014440 is an apocalyptic number.

224131014440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224131014440 is an abundant number, since it is smaller than the sum of its proper divisors (309828168640).

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

224131014440 is a wasteful number, since it uses less digits than its factorization.

224131014440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329604461 (or 329604457 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 224131014440 its reverse (44410131422), we get a palindrome (268541145862).

The spelling of 224131014440 in words is "two hundred twenty-four billion, one hundred thirty-one million, fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 329604433 659208866 1318417732 1648022165 2636835464 3296044330 5603275361 6592088660 11206550722 13184177320 22413101444 28016376805 44826202888 56032753610 112065507220 224131014440