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23180000 = 25541961
BaseRepresentation
bin101100001101…
…1001011100000
31121121122222112
41120123023200
521413230000
62144454452
7401012114
oct130331340
947548875
1023180000
11120a2528
12791a428
134a5799c
143115744
15207d235
hex161b2e0

23180000 has 120 divisors (see below), whose sum is σ = 61011720. Its totient is φ = 8640000.

The previous prime is 23179997. The next prime is 23180011. The reversal of 23180000 is 8132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 379970 + ... + 380030.

It is an arithmetic number, because the mean of its divisors is an integer number (508431).

Almost surely, 223180000 is an apocalyptic number.

23180000 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 23180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30505860).

23180000 is an abundant number, since it is smaller than the sum of its proper divisors (37831720).

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

23180000 is an equidigital number, since it uses as much as digits as its factorization.

23180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 23180000 is about 4814.5612468843. The cubic root of 23180000 is about 285.1266493638.

Adding to 23180000 its reverse (8132), we get a palindrome (23188132).

The spelling of 23180000 in words is "twenty-three million, one hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 61 76 80 95 100 122 125 152 160 190 200 244 250 304 305 380 400 475 488 500 608 610 625 760 800 950 976 1000 1159 1220 1250 1520 1525 1900 1952 2000 2318 2375 2440 2500 3040 3050 3800 4000 4636 4750 4880 5000 5795 6100 7600 7625 9272 9500 9760 10000 11590 11875 12200 15200 15250 18544 19000 20000 23180 23750 24400 28975 30500 37088 38000 38125 46360 47500 48800 57950 61000 76000 76250 92720 95000 115900 122000 144875 152500 185440 190000 231800 244000 289750 305000 380000 463600 579500 610000 724375 927200 1159000 1220000 1448750 2318000 2897500 4636000 5795000 11590000 23180000