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5221004320 = 255719723663
BaseRepresentation
bin1001101110011001…
…00011010000100000
3111110212020111111101
410313030203100200
541143034114240
62222024124144
7243244542640
oct46714432040
914425214441
105221004320
11223a136904
121018606654
1365288b48c
14377590520
1520855e39a
hex137323420

5221004320 has 96 divisors (see below), whose sum is σ = 14168867328. Its totient is φ = 1780896768.

The previous prime is 5221004293. The next prime is 5221004359. The reversal of 5221004320 is 234001225.

It is a super-2 number, since 2×52210043202 = 54517772218917324800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208809 + ... + 232471.

It is an arithmetic number, because the mean of its divisors is an integer number (147592368).

Almost surely, 25221004320 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 5221004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7084433664).

5221004320 is an abundant number, since it is smaller than the sum of its proper divisors (8947863008).

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

5221004320 is a wasteful number, since it uses less digits than its factorization.

5221004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23882 (or 23874 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 5221004320 is about 72256.5174915038. The cubic root of 5221004320 is about 1734.8077389130.

Adding to 5221004320 its reverse (234001225), we get a palindrome (5455005545).

The spelling of 5221004320 in words is "five billion, two hundred twenty-one million, four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 197 224 280 394 560 788 985 1120 1379 1576 1970 2758 3152 3940 5516 6304 6895 7880 11032 13790 15760 22064 23663 27580 31520 44128 47326 55160 94652 110320 118315 165641 189304 220640 236630 331282 378608 473260 662564 757216 828205 946520 1325128 1656410 1893040 2650256 3312820 3786080 4661611 5300512 6625640 9323222 13251280 18646444 23308055 26502560 32631277 37292888 46616110 65262554 74585776 93232220 130525108 149171552 163156385 186464440 261050216 326312770 372928880 522100432 652625540 745857760 1044200864 1305251080 2610502160 5221004320