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6552200000 = 26551812
BaseRepresentation
bin1100001101000101…
…01010001101000000
3121220122010020200002
412012202222031000
5101404330400000
63002100215132
7321240531623
oct60642521500
917818106602
106552200000
112862600925
12132a39a4a8
138055c9728
144622b1dba
152853628d5
hex1868aa340

6552200000 has 126 divisors (see below), whose sum is σ = 16341770466. Its totient is φ = 2606400000.

The previous prime is 6552199991. The next prime is 6552200009. The reversal of 6552200000 is 22556.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (6552199991) and next prime (6552200009).

It can be written as a sum of positive squares in 9 ways, for example, as 4201113856 + 2351086144 = 64816^2 + 48488^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6552200009) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36199910 + ... + 36200090.

It is an arithmetic number, because the mean of its divisors is an integer number (129696591).

Almost surely, 26552200000 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 6552200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8170885233).

6552200000 is an abundant number, since it is smaller than the sum of its proper divisors (9789570466).

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

6552200000 is an frugal number, since it uses more digits than its factorization.

6552200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 6552200000 is about 80945.6607854924. The cubic root of 6552200000 is about 1871.2380869495.

Multiplying 6552200000 by its sum of digits (20), we get a square (131044000000 = 3620002).

6552200000 divided by its sum of digits (20) gives a square (327610000 = 181002).

Adding to 6552200000 its reverse (22556), we get a palindrome (6552222556).

The spelling of 6552200000 in words is "six billion, five hundred fifty-two million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 181 200 250 320 362 400 500 625 724 800 905 1000 1250 1448 1600 1810 2000 2500 2896 3125 3620 4000 4525 5000 5792 6250 7240 8000 9050 10000 11584 12500 14480 18100 20000 22625 25000 28960 32761 36200 40000 45250 50000 57920 65522 72400 90500 100000 113125 131044 144800 163805 181000 200000 226250 262088 289600 327610 362000 452500 524176 565625 655220 724000 819025 905000 1048352 1131250 1310440 1448000 1638050 1810000 2096704 2262500 2620880 3276100 3620000 4095125 4525000 5241760 6552200 7240000 8190250 9050000 10483520 13104400 16380500 18100000 20475625 26208800 32761000 36200000 40951250 52417600 65522000 81902500 102378125 131044000 163805000 204756250 262088000 327610000 409512500 655220000 819025000 1310440000 1638050000 3276100000 6552200000