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23468500 = 22531117251
BaseRepresentation
bin101100110000…
…1100111010100
31122011022201201
41121201213110
522001443000
62155002244
7403323166
oct131414724
948138651
1023468500
111227a260
127a39384
134b290b3
14318c936
1520d896a
hex16619d4

23468500 has 96 divisors (see below), whose sum is σ = 59439744. Its totient is φ = 8000000.

The previous prime is 23468491. The next prime is 23468507. The reversal of 23468500 is 586432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23468507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93375 + ... + 93625.

It is an arithmetic number, because the mean of its divisors is an integer number (619164).

Almost surely, 223468500 is an apocalyptic number.

23468500 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 23468500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29719872).

23468500 is an abundant number, since it is smaller than the sum of its proper divisors (35971244).

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

23468500 is a wasteful number, since it uses less digits than its factorization.

23468500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 23468500 is about 4844.4297910074. The cubic root of 23468500 is about 286.3046779985.

The spelling of 23468500 in words is "twenty-three million, four hundred sixty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 125 170 187 220 250 251 275 340 374 425 500 502 550 748 850 935 1004 1100 1255 1375 1700 1870 2125 2510 2750 2761 3740 4250 4267 4675 5020 5500 5522 6275 8500 8534 9350 11044 12550 13805 17068 18700 21335 23375 25100 27610 31375 42670 46750 46937 55220 62750 69025 85340 93500 93874 106675 125500 138050 187748 213350 234685 276100 345125 426700 469370 533375 690250 938740 1066750 1173425 1380500 2133500 2346850 4693700 5867125 11734250 23468500