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23172000 = 253531931
BaseRepresentation
bin101100001100…
…1001110100000
31121121021000020
41120121032200
521413001000
62144353440
7400646565
oct130311640
947537006
1023172000
1112097515
127915880
134a54157
14311286c
15207aba0
hex16193a0

23172000 has 96 divisors (see below), whose sum is σ = 75950784. Its totient is φ = 6176000.

The previous prime is 23171999. The next prime is 23172031. The reversal of 23172000 is 27132.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11035 + ... + 12965.

It is an arithmetic number, because the mean of its divisors is an integer number (791154).

Almost surely, 223172000 is an apocalyptic number.

23172000 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 23172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37975392).

23172000 is an abundant number, since it is smaller than the sum of its proper divisors (52778784).

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

23172000 is a wasteful number, since it uses less digits than its factorization.

23172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 23172000 is about 4813.7303622035. The cubic root of 23172000 is about 285.0938441343.

Adding to 23172000 its reverse (27132), we get a palindrome (23199132).

The spelling of 23172000 in words is "twenty-three million, one hundred seventy-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 1931 2000 2400 3000 3862 4000 5793 6000 7724 9655 11586 12000 15448 19310 23172 28965 30896 38620 46344 48275 57930 61792 77240 92688 96550 115860 144825 154480 185376 193100 231720 241375 289650 308960 386200 463440 482750 579300 724125 772400 926880 965500 1158600 1448250 1544800 1931000 2317200 2896500 3862000 4634400 5793000 7724000 11586000 23172000