Search a number
-
+
5224131200 = 27522297129
BaseRepresentation
bin1001101110110000…
…11110101010000000
3111111002010100202202
410313120132222000
541144334144300
62222215132332
7243313245131
oct46730365200
914432110682
105224131200
112240982102
1210196740a8
136534147c2
14377b65c88
1520897aad5
hex13761ea80

5224131200 has 96 divisors (see below), whose sum is σ = 12963409500. Its totient is φ = 2080235520.

The previous prime is 5224131173. The next prime is 5224131221. The reversal of 5224131200 is 21314225.

It can be written as a sum of positive squares in 6 ways, for example, as 3558838336 + 1665292864 = 59656^2 + 40808^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 729236 + ... + 736364.

Almost surely, 25224131200 is an apocalyptic number.

5224131200 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 5224131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6481704750).

5224131200 is an abundant number, since it is smaller than the sum of its proper divisors (7739278300).

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

5224131200 is a wasteful number, since it uses less digits than its factorization.

5224131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7382 (or 7365 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 5224131200 is about 72278.1516089060. The cubic root of 5224131200 is about 1735.1539975205.

Adding to 5224131200 its reverse (21314225), we get a palindrome (5245445425).

The spelling of 5224131200 in words is "five billion, two hundred twenty-four million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 229 320 400 458 640 800 916 1145 1600 1832 2290 3200 3664 4580 5725 7129 7328 9160 11450 14258 14656 18320 22900 28516 29312 35645 36640 45800 57032 71290 73280 91600 114064 142580 146560 178225 183200 228128 285160 356450 366400 456256 570320 712900 732800 912512 1140640 1425800 1632541 2281280 2851600 3265082 4562560 5703200 6530164 8162705 11406400 13060328 16325410 22812800 26120656 32650820 40813525 52241312 65301640 81627050 104482624 130603280 163254100 208965248 261206560 326508200 522413120 653016400 1044826240 1306032800 2612065600 5224131200