Search a number
-
+
23241000 = 2335361127
BaseRepresentation
bin101100010101…
…0000100101000
31121201202122210
41120222010220
521422203000
62150045120
7401355006
oct130520450
947652583
1023241000
1112134342
1279497a0
134a79693
14312da76
152091350
hex162a128

23241000 has 128 divisors (see below), whose sum is σ = 74280960. Its totient is φ = 6048000.

The previous prime is 23240999. The next prime is 23241007. The reversal of 23241000 is 14232.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23241007) 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, 182937 + ... + 183063.

It is an arithmetic number, because the mean of its divisors is an integer number (580320).

Almost surely, 223241000 is an apocalyptic number.

23241000 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 23241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37140480).

23241000 is an abundant number, since it is smaller than the sum of its proper divisors (51039960).

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

23241000 is a wasteful number, since it uses less digits than its factorization.

23241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 23241000 is about 4820.8920336386. The cubic root of 23241000 is about 285.3765413842.

Adding to 23241000 its reverse (14232), we get a palindrome (23255232).

The spelling of 23241000 in words is "twenty-three million, two hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 61 75 100 120 122 125 127 150 183 200 244 250 254 300 305 366 375 381 488 500 508 600 610 635 732 750 762 915 1000 1016 1220 1270 1464 1500 1524 1525 1830 1905 2440 2540 3000 3048 3050 3175 3660 3810 4575 5080 6100 6350 7320 7620 7625 7747 9150 9525 12200 12700 15240 15250 15494 15875 18300 19050 22875 23241 25400 30500 30988 31750 36600 38100 38735 45750 46482 47625 61000 61976 63500 76200 77470 91500 92964 95250 116205 127000 154940 183000 185928 190500 193675 232410 309880 381000 387350 464820 581025 774700 929640 968375 1162050 1549400 1936750 2324100 2905125 3873500 4648200 5810250 7747000 11620500 23241000