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5221125200 = 245229659683
BaseRepresentation
bin1001101110011010…
…00000110001010000
3111110212110122022102
410313031000301100
541143102001300
62222030455532
7243245555234
oct46715006120
914425418272
105221125200
11223a209705
1210186645a8
136529014c5
143775c25c4
152085850d5
hex137340c50

5221125200 has 120 divisors (see below), whose sum is σ = 13015015200. Its totient is φ = 2010426880.

The previous prime is 5221125193. The next prime is 5221125257. The reversal of 5221125200 is 25211225.

It is a happy number.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 7644059 + ... + 7644741.

It is an arithmetic number, because the mean of its divisors is an integer number (108458460).

Almost surely, 25221125200 is an apocalyptic number.

5221125200 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 5221125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6507507600).

5221125200 is an abundant number, since it is smaller than the sum of its proper divisors (7793890000).

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

5221125200 is a wasteful number, since it uses less digits than its factorization.

5221125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 5221125200 is about 72257.3539509993. The cubic root of 5221125200 is about 1734.8211272656.

Adding to 5221125200 its reverse (25211225), we get a palindrome (5246336425).

The spelling of 5221125200 in words is "five billion, two hundred twenty-one million, one hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 659 683 725 1160 1318 1366 1450 2320 2636 2732 2900 3295 3415 5272 5464 5800 6590 6830 10544 10928 11600 13180 13660 16475 17075 19111 19807 26360 27320 32950 34150 38222 39614 52720 54640 65900 68300 76444 79228 95555 99035 131800 136600 152888 158456 191110 198070 263600 273200 305776 316912 382220 396140 450097 477775 495175 764440 792280 900194 955550 990350 1528880 1584560 1800388 1911100 1980700 2250485 3600776 3822200 3961400 4500970 7201552 7644400 7922800 9001940 11252425 13052813 18003880 22504850 26105626 36007760 45009700 52211252 65264065 90019400 104422504 130528130 180038800 208845008 261056260 326320325 522112520 652640650 1044225040 1305281300 2610562600 5221125200