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234220401 = 32149389449
BaseRepresentation
bin11011111010111…
…10101101110001
3121022201121222200
431331132231301
5434430023101
635124053413
75542561212
oct1575365561
9538647880
10234220401
11110236288
1266534269
13396a926c
142316d409
1515868986
hexdf5eb71

234220401 has 24 divisors (see below), whose sum is σ = 342225000. Its totient is φ = 154355712.

The previous prime is 234220387. The next prime is 234220417. The reversal of 234220401 is 104022432.

It can be written as a sum of positive squares in 4 ways, for example, as 1962801 + 232257600 = 1401^2 + 15240^2 .

It is not a de Polignac number, because 234220401 - 25 = 234220369 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (234220601) by changing a digit.

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, 521425 + ... + 521873.

It is an arithmetic number, because the mean of its divisors is an integer number (14259375).

Almost surely, 2234220401 is an apocalyptic number.

It is an amenable number.

234220401 is a deficient number, since it is larger than the sum of its proper divisors (108004599).

234220401 is a wasteful number, since it uses less digits than its factorization.

234220401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 234220401 is about 15304.2608772851. The cubic root of 234220401 is about 616.4174247040.

Adding to 234220401 its reverse (104022432), we get a palindrome (338242833).

The spelling of 234220401 in words is "two hundred thirty-four million, two hundred twenty thousand, four hundred one".

Divisors: 1 3 9 149 389 447 449 1167 1341 1347 3501 4041 57961 66901 173883 174661 200703 521649 523983 602109 1571949 26024489 78073467 234220401