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4225115224 = 2311611017793
BaseRepresentation
bin1111101111010110…
…0010010001011000
3101220110022002111001
43323311202101120
532123112141344
61535130514344
7206462613121
oct37365422130
911813262431
104225115224
111878a70670
1299ab959b4
135244604a5
142c11d3048
1519ade0ed4
hexfbd62458

4225115224 has 64 divisors (see below), whose sum is σ = 8872066080. Its totient is φ = 1870080000.

The previous prime is 4225115173. The next prime is 4225115239.

It is a happy number.

4225115224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4225115192 and 4225115201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 538272 + ... + 546064.

Almost surely, 24225115224 is an apocalyptic number.

4225115224 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 4225115224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436033040).

4225115224 is an abundant number, since it is smaller than the sum of its proper divisors (4646950856).

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

4225115224 is a wasteful number, since it uses less digits than its factorization.

4225115224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7972 (or 7968 counting only the distinct ones).

The product of its digits is 6400, while the sum is 28.

The square root of 4225115224 is about 65000.8863324186. The cubic root of 4225115224 is about 1616.6382586050.

It can be divided in two parts, 42251 and 15224, that added together give a palindrome (57475).

The spelling of 4225115224 in words is "four billion, two hundred twenty-five million, one hundred fifteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 61 88 101 122 202 244 404 488 671 808 1111 1342 2222 2684 4444 5368 6161 7793 8888 12322 15586 24644 31172 49288 62344 67771 85723 135542 171446 271084 342892 475373 542168 685784 787093 950746 1574186 1901492 3148372 3802984 5229103 6296744 8658023 10458206 17316046 20916412 34632092 41832824 48012673 69264184 96025346 192050692 384101384 528139403 1056278806 2112557612 4225115224