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201414222401 = 7737915493221
BaseRepresentation
bin1011101110010100111…
…0010010001001000001
3201020212220101121220212
42323211032102021001
511244444020104101
6232310045443505
720360142433250
oct2734516221101
9636786347825
10201414222401
1178468094447
1233051270595
1315cbb30a372
149a69c56797
15538c6c81bb
hex2ee5392241

201414222401 has 32 divisors (see below), whose sum is σ = 236520576000. Its totient is φ = 167959733760.

The previous prime is 201414222367. The next prime is 201414222407. The reversal of 201414222401 is 104222414102.

It is a de Polignac number, because none of the positive numbers 2k-201414222401 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (201414222407) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 62529971 + ... + 62533191.

It is an arithmetic number, because the mean of its divisors is an integer number (7391268000).

Almost surely, 2201414222401 is an apocalyptic number.

It is an amenable number.

201414222401 is a deficient number, since it is larger than the sum of its proper divisors (35106353599).

201414222401 is a wasteful number, since it uses less digits than its factorization.

201414222401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4929.

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 201414222401 its reverse (104222414102), we get a palindrome (305636636503).

The spelling of 201414222401 in words is "two hundred one billion, four hundred fourteen million, two hundred twenty-two thousand, four hundred one".

Divisors: 1 7 73 79 511 553 1549 3221 5767 10843 22547 40369 113077 122371 235133 254459 791539 856597 1645931 1781213 4989329 8933083 18575507 34925303 62531581 130028549 364221017 394156991 2549547119 2759098937 28773460343 201414222401