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23430100 = 22522361167
BaseRepresentation
bin101100101100…
…0001111010100
31122002101001111
41121120033110
521444230400
62154104404
7403103221
oct131301724
948071044
1023430100
1112253421
127a1b104
134b14785
14317c948
1520cc3ba
hex16583d4

23430100 has 72 divisors (see below), whose sum is σ = 54246528. Its totient is φ = 8764800.

The previous prime is 23430091. The next prime is 23430107. The reversal of 23430100 is 103432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23430107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140217 + ... + 140383.

It is an arithmetic number, because the mean of its divisors is an integer number (753424).

Almost surely, 223430100 is an apocalyptic number.

23430100 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 23430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27123264).

23430100 is an abundant number, since it is smaller than the sum of its proper divisors (30816428).

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

23430100 is a wasteful number, since it uses less digits than its factorization.

23430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 23430100 is about 4840.4648537098. The cubic root of 23430100 is about 286.1484387643.

Adding to 23430100 its reverse (103432), we get a palindrome (23533532).

The spelling of 23430100 in words is "twenty-three million, four hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 61 92 100 115 122 167 230 244 305 334 460 575 610 668 835 1150 1220 1403 1525 1670 2300 2806 3050 3340 3841 4175 5612 6100 7015 7682 8350 10187 14030 15364 16700 19205 20374 28060 35075 38410 40748 50935 70150 76820 96025 101870 140300 192050 203740 234301 254675 384100 468602 509350 937204 1018700 1171505 2343010 4686020 5857525 11715050 23430100