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4334814225 = 345271032969
BaseRepresentation
bin1000000100110000…
…00000010000010001
3102012002201101020000
410002120000100101
532334203023400
61554050040213
7212264212230
oct40230002021
912162641200
104334814225
1119249870a5
12a0b879069
135410bb841
142d19cab17
151a585e600
hex102600411

4334814225 has 120 divisors (see below), whose sum is σ = 9268871040. Its totient is φ = 1961729280.

The previous prime is 4334814203. The next prime is 4334814233. The reversal of 4334814225 is 5224184334.

It is not a de Polignac number, because 4334814225 - 27 = 4334814097 is a prime.

It is a super-2 number, since 2×43348142252 = 37581228730524701250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4334814225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1458541 + ... + 1461509.

It is an arithmetic number, because the mean of its divisors is an integer number (77240592).

Almost surely, 24334814225 is an apocalyptic number.

4334814225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4334814225 is an abundant number, since it is smaller than the sum of its proper divisors (4934056815).

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

4334814225 is a wasteful number, since it uses less digits than its factorization.

4334814225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101 (or 3087 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 4334814225 is about 65839.3060792715. The cubic root of 4334814225 is about 1630.5101123387.

Adding to 4334814225 its reverse (5224184334), we get a palindrome (9558998559).

The spelling of 4334814225 in words is "four billion, three hundred thirty-four million, eight hundred fourteen thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 103 105 135 175 189 225 309 315 405 515 525 567 675 721 927 945 1545 1575 2025 2163 2575 2781 2835 2969 3605 4635 4725 6489 7725 8343 8907 10815 13905 14175 14845 18025 19467 20783 23175 26721 32445 41715 44535 54075 58401 62349 69525 74225 80163 97335 103915 133605 162225 187047 208575 222675 240489 292005 305807 311745 400815 486675 519575 561141 668025 917421 935235 1202445 1460025 1529035 1558725 1683423 2004075 2140649 2752263 2805705 4587105 4676175 6012225 6421947 7645175 8256789 8417115 10703245 13761315 14028525 19265841 22935525 24770367 32109735 41283945 42085575 53516225 57797523 68806575 96329205 123851835 160548675 173392569 206419725 288987615 481646025 619259175 866962845 1444938075 4334814225