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2121224200 = 235222746723
BaseRepresentation
bin111111001101111…
…0101000000001000
312110211110100120021
41332123311000020
513321013133300
6550253110224
7103365052054
oct17633650010
95424410507
102121224200
11999415157
124b2488374
1327a60c564
14161a12c64
15c635ad1a
hex7e6f5008

2121224200 has 48 divisors (see below), whose sum is σ = 4953678480. Its totient is φ = 844733760.

The previous prime is 2121224159. The next prime is 2121224269. The reversal of 2121224200 is 24221212.

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, 22039 + ... + 68761.

It is an arithmetic number, because the mean of its divisors is an integer number (103201635).

Almost surely, 22121224200 is an apocalyptic number.

2121224200 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 2121224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476839240).

2121224200 is an abundant number, since it is smaller than the sum of its proper divisors (2832454280).

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

2121224200 is a wasteful number, since it uses less digits than its factorization.

2121224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46966 (or 46957 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2121224200 is about 46056.7497767700. The cubic root of 2121224200 is about 1284.8788815274.

Adding to 2121224200 its reverse (24221212), we get a palindrome (2145445412).

The spelling of 2121224200 in words is "two billion, one hundred twenty-one million, two hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 227 454 908 1135 1816 2270 4540 5675 9080 11350 22700 45400 46723 93446 186892 233615 373784 467230 934460 1168075 1868920 2336150 4672300 9344600 10606121 21212242 42424484 53030605 84848968 106061210 212122420 265153025 424244840 530306050 1060612100 2121224200