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2214412300 = 2252199223499
BaseRepresentation
bin1000001111111101…
…0100000000001100
312201022210210121101
42003333110000030
514013342143200
61003422312444
7105606123352
oct20377240014
95638723541
102214412300
11a36a83811
12519728724
13293a09649
1417014d7d2
15ce61726a
hex83fd400c

2214412300 has 72 divisors (see below), whose sum is σ = 4860800000. Its totient is φ = 875603520.

The previous prime is 2214412289. The next prime is 2214412303. The reversal of 2214412300 is 32144122.

It is not an unprimeable number, because it can be changed into a prime (2214412303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4437451 + ... + 4437949.

Almost surely, 22214412300 is an apocalyptic number.

2214412300 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 2214412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430400000).

2214412300 is an abundant number, since it is smaller than the sum of its proper divisors (2646387700).

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

2214412300 is a wasteful number, since it uses less digits than its factorization.

2214412300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2214412300 is about 47057.5424347681. The cubic root of 2214412300 is about 1303.4253453936.

Adding to 2214412300 its reverse (32144122), we get a palindrome (2246556422).

The spelling of 2214412300 in words is "two billion, two hundred fourteen million, four hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 199 223 398 446 499 796 892 995 998 1115 1990 1996 2230 2495 3980 4460 4975 4990 5575 9950 9980 11150 12475 19900 22300 24950 44377 49900 88754 99301 111277 177508 198602 221885 222554 397204 443770 445108 496505 556385 887540 993010 1109425 1112770 1986020 2218850 2225540 2482525 2781925 4437700 4965050 5563850 9930100 11127700 22144123 44288246 88576492 110720615 221441230 442882460 553603075 1107206150 2214412300