Search a number
-
+
223301214400201 = 71729114375657623
BaseRepresentation
bin110010110001011101011101…
…100011111110111011001001
31002021122101110120101210022121
4302301131131203332323021
5213232031341341301301
62110531054533051241
765014660154631430
oct6261353543767311
91067571416353277
10223301214400201
1165172571095193
1221065330a86b21
13977a2a26981c2
143d1db9d2b8117
151ac389c75a3a1
hexcb175d8feec9

223301214400201 has 32 divisors (see below), whose sum is σ = 279555422307840. Its totient is φ = 173915119236096.

The previous prime is 223301214400169. The next prime is 223301214400211. The reversal of 223301214400201 is 102004412103322.

It is not a de Polignac number, because 223301214400201 - 25 = 223301214400169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (223301214400211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36640276 + ... + 42297898.

It is an arithmetic number, because the mean of its divisors is an integer number (8736106947120).

Almost surely, 2223301214400201 is an apocalyptic number.

It is an amenable number.

223301214400201 is a deficient number, since it is larger than the sum of its proper divisors (56254207907639).

223301214400201 is a wasteful number, since it uses less digits than its factorization.

223301214400201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5669113.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 223301214400201 its reverse (102004412103322), we get a palindrome (325305626503523).

The spelling of 223301214400201 in words is "two hundred twenty-three trillion, three hundred one billion, two hundred fourteen million, four hundred thousand, two hundred one".

Divisors: 1 7 17 29 119 203 493 3451 11437 80059 194429 331673 1361003 2321711 5638441 5657623 39469087 39603361 96179591 164071067 673257137 1148497469 2789208139 19524456973 64706234251 452943639757 1100005982267 1876480793279 7700041875869 13135365552953 31900173485743 223301214400201