Search a number
-
+
2123331200 = 2752663541
BaseRepresentation
bin111111010001111…
…0111011010000000
312110222102101211022
41332203313122000
513322033044300
6550410205012
7103422005654
oct17643673200
95428371738
102123331200
1199a624181
124b3123768
1327ab995c3
14162000a64
15c6625285
hex7e8f7680

2123331200 has 48 divisors (see below), whose sum is σ = 5245299510. Its totient is φ = 849331200.

The previous prime is 2123331137. The next prime is 2123331211. The reversal of 2123331200 is 21333212.

It can be written as a sum of positive squares in 3 ways, for example, as 1185011776 + 938319424 = 34424^2 + 30632^2 .

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 5 ways as a sum of consecutive naturals, for example, 328571 + ... + 334970.

Almost surely, 22123331200 is an apocalyptic number.

2123331200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2123331200 is an abundant number, since it is smaller than the sum of its proper divisors (3121968310).

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

2123331200 is an equidigital number, since it uses as much as digits as its factorization.

2123331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663565 (or 663548 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2123331200 is about 46079.6180539726. The cubic root of 2123331200 is about 1285.3041617242.

Adding to 2123331200 its reverse (21333212), we get a palindrome (2144664412).

The spelling of 2123331200 in words is "two billion, one hundred twenty-three million, three hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 663541 1327082 2654164 3317705 5308328 6635410 10616656 13270820 16588525 21233312 26541640 33177050 42466624 53083280 66354100 84933248 106166560 132708200 212333120 265416400 424666240 530832800 1061665600 2123331200