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234201564 = 223329374347
BaseRepresentation
bin11011111010110…
…10000111011100
3121022200200011000
431331122013130
5434423422224
635123430300
75542452252
oct1575320734
9538620130
10234201564
11110223113
1266525390
13396a080c
14231665d2
15158630c9
hexdf5a1dc

234201564 has 192 divisors, whose sum is σ = 674150400. Its totient is φ = 70108416.

The previous prime is 234201547. The next prime is 234201577. The reversal of 234201564 is 465102432.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4982989 + ... + 4983035.

It is an arithmetic number, because the mean of its divisors is an integer number (3511200).

Almost surely, 2234201564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234201564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337075200).

234201564 is an abundant number, since it is smaller than the sum of its proper divisors (439948836).

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

234201564 is a wasteful number, since it uses less digits than its factorization.

234201564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 234201564 is about 15303.6454480624. The cubic root of 234201564 is about 616.4008992914.

Adding to 234201564 its reverse (465102432), we get a palindrome (699303996).

The spelling of 234201564 in words is "two hundred thirty-four million, two hundred one thousand, five hundred sixty-four".