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4225005224 = 2311193078231
BaseRepresentation
bin1111101111010100…
…0111011010101000
3101220110002111120222
43323311013122220
532123100131344
61535124305212
7206461644326
oct37365073250
911813074528
104225005224
1118789a5a60
1299ab42208
135244223bb
142c11a4d16
1519adbd5ee
hexfbd476a8

4225005224 has 64 divisors (see below), whose sum is σ = 9127641600. Its totient is φ = 1813233600.

The previous prime is 4225005203. The next prime is 4225005227.

4225005224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4225005193 and 4225005202.

It is not an unprimeable number, because it can be changed into a prime (4225005227) 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, 509189 + ... + 517419.

It is an arithmetic number, because the mean of its divisors is an integer number (142619400).

Almost surely, 24225005224 is an apocalyptic number.

4225005224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4225005224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4563820800).

4225005224 is an abundant number, since it is smaller than the sum of its proper divisors (4902636376).

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

4225005224 is a wasteful number, since it uses less digits than its factorization.

4225005224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8574 (or 8570 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 4225005224 is about 65000.0401846030. The cubic root of 4225005224 is about 1616.6242288691.

It can be divided in two parts, 422500 and 5224, that added together give a palindrome (427724).

The spelling of 4225005224 in words is "four billion, two hundred twenty-five million, five thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 307 418 614 836 1228 1672 2456 3377 5833 6754 8231 11666 13508 16462 23332 27016 32924 46664 64163 65848 90541 128326 156389 181082 256652 312778 362164 513304 625556 724328 1251112 1720279 2526917 3440558 5053834 6881116 10107668 13762232 20215336 27796087 48011423 55592174 96022846 111184348 192045692 222368696 384091384 528125653 1056251306 2112502612 4225005224