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214244020221 = 37111516142141
BaseRepresentation
bin1100011110000111110…
…0000100111111111101
3202111000000220212212220
43013201330010333331
512002232432121341
6242231120515553
721323111060520
oct3074174047775
9674000825786
10214244020221
1182951189440
1235631a7bbb9
13172843589ca
14a525b58bb7
15588dc09a66
hex31e1f04ffd

214244020221 has 32 divisors (see below), whose sum is σ = 358504544256. Its totient is φ = 110558520000.

The previous prime is 214244020219. The next prime is 214244020229. The reversal of 214244020221 is 122020442412.

It is a happy number.

It is not a de Polignac number, because 214244020221 - 21 = 214244020219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214244020191 and 214244020200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214244020229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3036190 + ... + 3105951.

It is an arithmetic number, because the mean of its divisors is an integer number (11203267008).

Almost surely, 2214244020221 is an apocalyptic number.

214244020221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

214244020221 is a deficient number, since it is larger than the sum of its proper divisors (144260524035).

214244020221 is a wasteful number, since it uses less digits than its factorization.

214244020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6142313.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 214244020221 its reverse (122020442412), we get a palindrome (336264462633).

The spelling of 214244020221 in words is "two hundred fourteen billion, two hundred forty-four million, twenty thousand, two hundred twenty-one".

Divisors: 1 3 7 11 21 33 77 151 231 453 1057 1661 3171 4983 11627 34881 6142141 18426423 42994987 67563551 128984961 202690653 472944857 927463291 1418834571 2782389873 6492243037 10202096201 19476729111 30606288603 71414673407 214244020221