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4222401232 = 247834331049
BaseRepresentation
bin1111101110101100…
…1011101011010000
3101220021012012120211
43323223023223100
532121413314412
61534552413504
7206430550450
oct37353135320
911807165524
104222401232
1118774875a5
1299a0a7294
13523a2008a
142c0ac7d60
1519aa56ca7
hexfbacbad0

4222401232 has 80 divisors (see below), whose sum is σ = 9493142400. Its totient is φ = 1781968896.

The previous prime is 4222401229. The next prime is 4222401233. The reversal of 4222401232 is 2321042224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4222401233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4024644 + ... + 4025692.

It is an arithmetic number, because the mean of its divisors is an integer number (118664280).

Almost surely, 24222401232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4222401232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4746571200).

4222401232 is an abundant number, since it is smaller than the sum of its proper divisors (5270741168).

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

4222401232 is a wasteful number, since it uses less digits than its factorization.

4222401232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4222401232 is about 64980.0064019695. The cubic root of 4222401232 is about 1616.2920366405.

Adding to 4222401232 its reverse (2321042224), we get a palindrome (6543443456).

The spelling of 4222401232 in words is "four billion, two hundred twenty-two million, four hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 83 112 166 332 433 581 664 866 1049 1162 1328 1732 2098 2324 3031 3464 4196 4648 6062 6928 7343 8392 9296 12124 14686 16784 24248 29372 35939 48496 58744 71878 87067 117488 143756 174134 251573 287512 348268 454217 503146 575024 609469 696536 908434 1006292 1218938 1393072 1816868 2012584 2437876 3179519 3633736 4025168 4875752 6359038 7267472 9751504 12718076 25436152 37700011 50872304 75400022 150800044 263900077 301600088 527800154 603200176 1055600308 2111200616 4222401232