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5322167820 = 2232535982361
BaseRepresentation
bin1001111010011100…
…11101011000001100
3111201220121010201200
410331032131120030
541344433332240
62240040305500
7245613452154
oct47516353014
914656533650
105322167820
112291252502
121046472290
1366a81b738
14386ba5764
15212393930
hex13d39d60c

5322167820 has 72 divisors (see below), whose sum is σ = 16189074720. Its totient is φ = 1415274240.

The previous prime is 5322167813. The next prime is 5322167861. The reversal of 5322167820 is 287612235.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 23440 + ... + 105800.

It is an arithmetic number, because the mean of its divisors is an integer number (224848260).

Almost surely, 25322167820 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 5322167820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8094537360).

5322167820 is an abundant number, since it is smaller than the sum of its proper divisors (10866906900).

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

5322167820 is a wasteful number, since it uses less digits than its factorization.

5322167820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82735 (or 82730 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5322167820 is about 72953.1892380313. The cubic root of 5322167820 is about 1745.9408308460.

The spelling of 5322167820 in words is "five billion, three hundred twenty-two million, one hundred sixty-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 359 718 1077 1436 1795 2154 3231 3590 4308 5385 6462 7180 10770 12924 16155 21540 32310 64620 82361 164722 247083 329444 411805 494166 741249 823610 988332 1235415 1482498 1647220 2470830 2964996 3706245 4941660 7412490 14824980 29567599 59135198 88702797 118270396 147837995 177405594 266108391 295675990 354811188 443513985 532216782 591351980 887027970 1064433564 1330541955 1774055940 2661083910 5322167820