Search a number
-
+
2112200300 = 225277142499
BaseRepresentation
bin111110111100101…
…1001111001101100
312110012110220002202
41331321121321230
513311210402200
6545331441032
7103225256240
oct17571317154
95405426082
102112200300
11994311391
124ab456178
132787a0082
14160744420
15c56771d5
hex7de59e6c

2112200300 has 72 divisors (see below), whose sum is σ = 5312160000. Its totient is φ = 713966400.

The previous prime is 2112200281. The next prime is 2112200333. The reversal of 2112200300 is 30022112.

It is a happy number.

It is a super-2 number, since 2×21122003002 = 8922780214640180000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28451 + ... + 70949.

It is an arithmetic number, because the mean of its divisors is an integer number (73780000).

Almost surely, 22112200300 is an apocalyptic number.

2112200300 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 2112200300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656080000).

2112200300 is an abundant number, since it is smaller than the sum of its proper divisors (3199959700).

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

2112200300 is a wasteful number, since it uses less digits than its factorization.

2112200300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42591 (or 42584 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2112200300 is about 45958.6803552931. The cubic root of 2112200300 is about 1283.0542906358.

Adding to 2112200300 its reverse (30022112), we get a palindrome (2142222412).

The spelling of 2112200300 in words is "two billion, one hundred twelve million, two hundred thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 71 100 140 142 175 284 350 355 497 700 710 994 1420 1775 1988 2485 3550 4970 7100 9940 12425 24850 42499 49700 84998 169996 212495 297493 424990 594986 849980 1062475 1189972 1487465 2124950 2974930 3017429 4249900 5949860 6034858 7437325 12069716 14874650 15087145 21122003 29749300 30174290 42244006 60348580 75435725 84488012 105610015 150871450 211220030 301742900 422440060 528050075 1056100150 2112200300