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234201440 = 25511133069
BaseRepresentation
bin11011111010110…
…10000101100000
3121022200122222102
431331122011200
5434423421230
635123425532
75542452014
oct1575320540
9538618872
10234201440
11110223010
12665252a8
13396a0745
1423166544
1515863045
hexdf5a160

234201440 has 48 divisors (see below), whose sum is σ = 603605520. Its totient is φ = 85163520.

The previous prime is 234201439. The next prime is 234201449. The reversal of 234201440 is 44102432.

234201440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234201449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64775 + ... + 68294.

It is an arithmetic number, because the mean of its divisors is an integer number (12575115).

Almost surely, 2234201440 is an apocalyptic number.

234201440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234201440 is an abundant number, since it is smaller than the sum of its proper divisors (369404080).

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

234201440 is a wasteful number, since it uses less digits than its factorization.

234201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133095 (or 133087 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 234201440 is about 15303.6413967395. The cubic root of 234201440 is about 616.4007905052.

Adding to 234201440 its reverse (44102432), we get a palindrome (278303872).

The spelling of 234201440 in words is "two hundred thirty-four million, two hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 133069 266138 532276 665345 1064552 1330690 1463759 2129104 2661380 2927518 4258208 5322760 5855036 7318795 10645520 11710072 14637590 21291040 23420144 29275180 46840288 58550360 117100720 234201440