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23145150 = 2352724767
BaseRepresentation
bin101100001001…
…0101010111110
31121112220011210
41120102222332
521411121100
62144025250
7400505400
oct130225276
947486153
1023145150
1112079326
127902226
134a44b72
143106b70
152072c50
hex1612abe

23145150 has 144 divisors (see below), whose sum is σ = 69209856. Its totient is φ = 5100480.

The previous prime is 23145119. The next prime is 23145167. The reversal of 23145150 is 5154132.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 345417 + ... + 345483.

It is an arithmetic number, because the mean of its divisors is an integer number (480624).

Almost surely, 223145150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23145150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34604928).

23145150 is an abundant number, since it is smaller than the sum of its proper divisors (46064706).

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

23145150 is a wasteful number, since it uses less digits than its factorization.

23145150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 23145150 is about 4810.9406564621. The cubic root of 23145150 is about 284.9836863546.

Adding to 23145150 its reverse (5154132), we get a palindrome (28299282).

The spelling of 23145150 in words is "twenty-three million, one hundred forty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 47 49 50 67 70 75 94 98 105 134 141 147 150 175 201 210 235 245 282 294 329 335 350 402 469 470 490 525 658 670 705 735 938 987 1005 1050 1175 1225 1407 1410 1470 1645 1675 1974 2010 2303 2345 2350 2450 2814 3149 3283 3290 3350 3525 3675 4606 4690 4935 5025 6298 6566 6909 7035 7050 7350 8225 9447 9849 9870 10050 11515 11725 13818 14070 15745 16415 16450 18894 19698 22043 23030 23450 24675 31490 32830 34545 35175 44086 47235 49245 49350 57575 66129 69090 70350 78725 82075 94470 98490 110215 115150 132258 154301 157450 164150 172725 220430 236175 246225 308602 330645 345450 462903 472350 492450 551075 661290 771505 925806 1102150 1543010 1653225 2314515 3306450 3857525 4629030 7715050 11572575 23145150