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5466222500 = 225417413137
BaseRepresentation
bin1010001011100111…
…11110111110100100
3112002221122212121012
411011303332332210
542143323110000
62302224041352
7252313060514
oct50563767644
915087585535
105466222500
1123555a3962
121086763258
136916184ab
1439bd83844
1521ed4b735
hex145cfefa4

5466222500 has 120 divisors (see below), whose sum is σ = 12969517176. Its totient is φ = 2007040000.

The previous prime is 5466222497. The next prime is 5466222523. The reversal of 5466222500 is 52226645.

It can be written as a sum of positive squares in 20 ways, for example, as 4825525156 + 640697344 = 69466^2 + 25312^2 .

It is a super-3 number, since 3×54662225003 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1740932 + ... + 1744068.

Almost surely, 25466222500 is an apocalyptic number.

5466222500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5466222500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6484758588).

5466222500 is an abundant number, since it is smaller than the sum of its proper divisors (7503294676).

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

5466222500 is a wasteful number, since it uses less digits than its factorization.

5466222500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219 (or 3202 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 5466222500 is about 73933.9062947441. The cubic root of 5466222500 is about 1761.5532195142.

The spelling of 5466222500 in words is "five billion, four hundred sixty-six million, two hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 41 50 68 82 85 100 125 164 170 205 250 340 410 425 500 625 697 820 850 1025 1250 1394 1700 2050 2125 2500 2788 3137 3485 4100 4250 5125 6274 6970 8500 10250 10625 12548 13940 15685 17425 20500 21250 25625 31370 34850 42500 51250 53329 62740 69700 78425 87125 102500 106658 128617 156850 174250 213316 257234 266645 313700 348500 392125 435625 514468 533290 643085 784250 871250 1066580 1286170 1333225 1568500 1742500 1960625 2186489 2572340 2666450 3215425 3921250 4372978 5332900 6430850 6666125 7842500 8745956 10932445 12861700 13332250 16077125 21864890 26664500 32154250 33330625 43729780 54662225 64308500 66661250 80385625 109324450 133322500 160771250 218648900 273311125 321542500 546622250 1093244500 1366555625 2733111250 5466222500