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22144050 = 2335247349
BaseRepresentation
bin101010001111…
…0010000110010
31112200000221000
41110132100302
521132102200
62110342430
7356135625
oct124362062
945600830
1022144050
1111555175
1274baa16
1347842b6
142d25dbc
151e26300
hex151e432

22144050 has 96 divisors (see below), whose sum is σ = 62496000. Its totient is φ = 5762880.

The previous prime is 22144049. The next prime is 22144079. The reversal of 22144050 is 5044122.

22144050 is a `hidden beast` number, since 221 + 440 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 63276 + ... + 63624.

It is an arithmetic number, because the mean of its divisors is an integer number (651000).

Almost surely, 222144050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22144050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31248000).

22144050 is an abundant number, since it is smaller than the sum of its proper divisors (40351950).

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

22144050 is a wasteful number, since it uses less digits than its factorization.

22144050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 22144050 is about 4705.7464870093. The cubic root of 22144050 is about 280.8141694216.

Adding to 22144050 its reverse (5044122), we get a palindrome (27188172).

The spelling of 22144050 in words is "twenty-two million, one hundred forty-four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 47 50 54 75 90 94 135 141 150 225 235 270 282 349 423 450 470 675 698 705 846 1047 1175 1269 1350 1410 1745 2094 2115 2350 2538 3141 3490 3525 4230 5235 6282 6345 7050 8725 9423 10470 10575 12690 15705 16403 17450 18846 21150 26175 31410 31725 32806 47115 49209 52350 63450 78525 82015 94230 98418 147627 157050 164030 235575 246045 295254 410075 442881 471150 492090 738135 820150 885762 1230225 1476270 2214405 2460450 3690675 4428810 7381350 11072025 22144050