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214424203340 = 22543223992417
BaseRepresentation
bin1100011110110010101…
…1011011000001001100
3202111110120222010122202
43013230223123001030
512003120044001330
6242301034501032
721330426440654
oct3075453330114
9674416863582
10214424203340
1182a33966706
1235682294778
13172b2795039
14a541a5d364
15589e94c445
hex31ecadb04c

214424203340 has 72 divisors (see below), whose sum is σ = 461389219200. Its totient is φ = 83705470464.

The previous prime is 214424203303. The next prime is 214424203393. The reversal of 214424203340 is 43302424412.

214424203340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88713812 + ... + 88716228.

It is an arithmetic number, because the mean of its divisors is an integer number (6408183600).

Almost surely, 2214424203340 is an apocalyptic number.

214424203340 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 214424203340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230694609600).

214424203340 is an abundant number, since it is smaller than the sum of its proper divisors (246965015860).

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

214424203340 is a wasteful number, since it uses less digits than its factorization.

214424203340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4911 (or 4866 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 214424203340 its reverse (43302424412), we get a palindrome (257726627752).

The spelling of 214424203340 in words is "two hundred fourteen billion, four hundred twenty-four million, two hundred three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1849 2399 2417 3698 4798 4834 7396 9245 9596 9668 11995 12085 18490 23990 24170 36980 47980 48340 103157 103931 206314 207862 412628 415724 515785 519655 1031570 1039310 2063140 2078620 4435751 4469033 5798383 8871502 8938066 11596766 17743004 17876132 22178755 22345165 23193532 28991915 44357510 44690330 57983830 88715020 89380660 115967660 249330469 498660938 997321876 1246652345 2493304690 4986609380 10721210167 21442420334 42884840668 53606050835 107212101670 214424203340