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23522500 = 2254972
BaseRepresentation
bin101100110111…
…0110011000100
31122021001210201
41121232303010
522010210000
62200100244
7403636501
oct131566304
948231721
1023522500
1112306891
127a64684
134b47851
1431a44a8
1520e996a
hex166ecc4

23522500 has 45 divisors (see below), whose sum is σ = 51974769. Its totient is φ = 9312000.

The previous prime is 23522497. The next prime is 23522501. The reversal of 23522500 is 522532.

The square root of 23522500 is 4850.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 19061956 + 4460544 = 4366^2 + 2112^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23522501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 242452 + ... + 242548.

Almost surely, 223522500 is an apocalyptic number.

23522500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23522500 is the 4850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23522500

23522500 is an abundant number, since it is smaller than the sum of its proper divisors (28452269).

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

23522500 is an frugal number, since it uses more digits than its factorization.

23522500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The cubic root of 23522500 is about 286.5241013363.

The spelling of 23522500 in words is "twenty-three million, five hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 125 194 250 388 485 500 625 970 1250 1940 2425 2500 4850 9409 9700 12125 18818 24250 37636 47045 48500 60625 94090 121250 188180 235225 242500 470450 940900 1176125 2352250 4704500 5880625 11761250 23522500