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2133204200 = 2352174314591
BaseRepresentation
bin111111100100110…
…0001110011101000
312111200000000000222
41333021201303220
513332100013300
6551401545212
7103601636141
oct17711416350
95450000028
102133204200
119a5157986
124b64a5208
1327cc4540a
14163450ac8
15c7425785
hex7f261ce8

2133204200 has 96 divisors (see below), whose sum is σ = 5373941760. Its totient is φ = 784358400.

The previous prime is 2133204193. The next prime is 2133204247. The reversal of 2133204200 is 24023312.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138905 + ... + 153495.

It is an arithmetic number, because the mean of its divisors is an integer number (55978560).

Almost surely, 22133204200 is an apocalyptic number.

2133204200 is a gapful number since it is divisible by the number (20) 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 2133204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686970880).

2133204200 is an abundant number, since it is smaller than the sum of its proper divisors (3240737560).

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

2133204200 is a wasteful number, since it uses less digits than its factorization.

2133204200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14667 (or 14658 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2133204200 is about 46186.6236046758. The cubic root of 2133204200 is about 1287.2932046037.

Adding to 2133204200 its reverse (24023312), we get a palindrome (2157227512).

The spelling of 2133204200 in words is "two billion, one hundred thirty-three million, two hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 43 50 68 85 86 100 136 170 172 200 215 340 344 425 430 680 731 850 860 1075 1462 1700 1720 2150 2924 3400 3655 4300 5848 7310 8600 14591 14620 18275 29182 29240 36550 58364 72955 73100 116728 145910 146200 248047 291820 364775 496094 583640 627413 729550 992188 1240235 1254826 1459100 1984376 2480470 2509652 2918200 3137065 4960940 5019304 6201175 6274130 9921880 10666021 12402350 12548260 15685325 21332042 24804700 25096520 31370650 42664084 49609400 53330105 62741300 85328168 106660210 125482600 213320420 266650525 426640840 533301050 1066602100 2133204200