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2214304140 = 2235118131249
BaseRepresentation
bin1000001111111011…
…1001100110001100
312201022121022020110
42003332321212030
514013330213030
61003420120020
7105605163126
oct20376714614
95638538213
102214304140
11a36a0a524
12519696010
1329399c349
14170122216
15ce5e51b0
hex83fb998c

2214304140 has 48 divisors (see below), whose sum is σ = 6205500000. Its totient is φ = 589962240.

The previous prime is 2214304031. The next prime is 2214304163. The reversal of 2214304140 is 414034122.

It is a super-2 number, since 2×22143041402 = 9806285648842279200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 55236 + ... + 86484.

It is an arithmetic number, because the mean of its divisors is an integer number (129281250).

Almost surely, 22214304140 is an apocalyptic number.

2214304140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214304140 is an abundant number, since it is smaller than the sum of its proper divisors (3991195860).

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

2214304140 is a wasteful number, since it uses less digits than its factorization.

2214304140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32442 (or 32440 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2214304140 is about 47056.3931894488. The cubic root of 2214304140 is about 1303.4041236935.

Adding to 2214304140 its reverse (414034122), we get a palindrome (2628338262).

The spelling of 2214304140 in words is "two billion, two hundred fourteen million, three hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1181 2362 3543 4724 5905 7086 11810 14172 17715 23620 31249 35430 62498 70860 93747 124996 156245 187494 312490 374988 468735 624980 937470 1874940 36905069 73810138 110715207 147620276 184525345 221430414 369050690 442860828 553576035 738101380 1107152070 2214304140