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23431300 = 2252534421
BaseRepresentation
bin101100101100…
…0100010000100
31122002102200221
41121120202010
521444300200
62154114124
7403106554
oct131304204
948072627
1023431300
1112254312
127a1b944
134b15199
14317d164
1520cc91a
hex1658884

23431300 has 36 divisors (see below), whose sum is σ = 51816996. Its totient is φ = 9193600.

The previous prime is 23431283. The next prime is 23431301. The reversal of 23431300 is 313432.

It can be written as a sum of positive squares in 6 ways, for example, as 544644 + 22886656 = 738^2 + 4784^2 .

It is not an unprimeable number, because it can be changed into a prime (23431301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3090 + ... + 7510.

It is an arithmetic number, because the mean of its divisors is an integer number (1439361).

Almost surely, 223431300 is an apocalyptic number.

23431300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25908498).

23431300 is an abundant number, since it is smaller than the sum of its proper divisors (28385696).

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

23431300 is a wasteful number, since it uses less digits than its factorization.

23431300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4488 (or 4481 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 23431300 is about 4840.5888071597. The cubic root of 23431300 is about 286.1533238234.

Adding to 23431300 its reverse (313432), we get a palindrome (23744732).

The spelling of 23431300 in words is "twenty-three million, four hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 4421 5300 8842 17684 22105 44210 88420 110525 221050 234313 442100 468626 937252 1171565 2343130 4686260 5857825 11715650 23431300