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5228259084 = 223217292231321
BaseRepresentation
bin1001101111010000…
…01110011100001100
3111111100220002011100
410313220032130030
541201413242314
62222443423100
7243363316566
oct46750163414
914440802140
105228259084
112243241484
12101ab24a90
1365422b639
1437851c336
15208ee3c09
hex137a0e70c

5228259084 has 144 divisors (see below), whose sum is σ = 14551729920. Its totient is φ = 1575383040.

The previous prime is 5228259083. The next prime is 5228259097. The reversal of 5228259084 is 4809528225.

5228259084 is a `hidden beast` number, since 52 + 2 + 8 + 2 + 590 + 8 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (5228259083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3957144 + ... + 3958464.

It is an arithmetic number, because the mean of its divisors is an integer number (101053680).

Almost surely, 25228259084 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 5228259084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7275864960).

5228259084 is an abundant number, since it is smaller than the sum of its proper divisors (9323470836).

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

5228259084 is a wasteful number, since it uses less digits than its factorization.

5228259084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 5228259084 is about 72306.7015151431. The cubic root of 5228259084 is about 1735.6108919127.

The spelling of 5228259084 in words is "five billion, two hundred twenty-eight million, two hundred fifty-nine thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 102 116 153 174 204 223 261 306 348 446 493 522 612 669 892 986 1044 1321 1338 1479 1972 2007 2642 2676 2958 3791 3963 4014 4437 5284 5916 6467 7582 7926 8028 8874 11373 11889 12934 15164 15852 17748 19401 22457 22746 23778 25868 34119 38309 38802 44914 45492 47556 58203 67371 68238 76618 77604 89828 109939 114927 116406 134742 136476 153236 202113 219878 229854 232812 269484 294583 329817 344781 404226 439756 459708 589166 651253 659634 689562 808452 883749 989451 1178332 1302506 1319268 1379124 1767498 1953759 1978902 2605012 2651247 3534996 3907518 3957804 5007911 5302494 5861277 7815036 8542907 10015822 10604988 11722554 15023733 17085814 20031644 23445108 25628721 30047466 34171628 45071199 51257442 60094932 76886163 90142398 102514884 145229419 153772326 180284796 290458838 307544652 435688257 580917676 871376514 1307064771 1742753028 2614129542 5228259084