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234220144 = 24195314537
BaseRepresentation
bin11011111010111…
…10101001110000
3121022201121122011
431331132221300
5434430021034
635124052304
75542560364
oct1575365160
9538647564
10234220144
11110236074
1266534094
13396a9102
142316d2a4
1515868864
hexdf5ea70

234220144 has 40 divisors (see below), whose sum is σ = 486732240. Its totient is φ = 108845568.

The previous prime is 234220127. The next prime is 234220157. The reversal of 234220144 is 441022432.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 8844 + ... + 23380.

It is an arithmetic number, because the mean of its divisors is an integer number (12168306).

Almost surely, 2234220144 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 234220144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243366120).

234220144 is an abundant number, since it is smaller than the sum of its proper divisors (252512096).

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

234220144 is a wasteful number, since it uses less digits than its factorization.

234220144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14617 (or 14611 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 234220144 is about 15304.2524809283. The cubic root of 234220144 is about 616.4171992478.

Adding to 234220144 its reverse (441022432), we get a palindrome (675242576).

The spelling of 234220144 in words is "two hundred thirty-four million, two hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 53 76 106 152 212 304 424 848 1007 2014 4028 8056 14537 16112 29074 58148 116296 232592 276203 552406 770461 1104812 1540922 2209624 3081844 4419248 6163688 12327376 14638759 29277518 58555036 117110072 234220144