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22145550 = 23527223131
BaseRepresentation
bin101010001111…
…0101000001110
31112200002222120
41110132220032
521132124200
62110353410
7356143200
oct124365016
945602876
1022145550
1111556309
1274bb866
134784b9b
142d26770
151e269a0
hex151ea0e

22145550 has 144 divisors (see below), whose sum is σ = 67174272. Its totient is φ = 4804800.

The previous prime is 22145549. The next prime is 22145551. The reversal of 22145550 is 5554122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22145549) and next prime (22145551).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22145550.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22145551) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 168985 + ... + 169115.

It is an arithmetic number, because the mean of its divisors is an integer number (466488).

Almost surely, 222145550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22145550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33587136).

22145550 is an abundant number, since it is smaller than the sum of its proper divisors (45028722).

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

22145550 is a wasteful number, since it uses less digits than its factorization.

22145550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 22145550 is about 4705.9058639119. The cubic root of 22145550 is about 280.8205099020.

Adding to 22145550 its reverse (5554122), we get a palindrome (27699672).

The spelling of 22145550 in words is "twenty-two million, one hundred forty-five thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 25 30 35 42 46 49 50 69 70 75 98 105 115 131 138 147 150 161 175 210 230 245 262 294 322 345 350 393 483 490 525 575 655 690 735 786 805 917 966 1050 1127 1150 1225 1310 1470 1610 1725 1834 1965 2254 2415 2450 2751 3013 3275 3381 3450 3675 3930 4025 4585 4830 5502 5635 6026 6419 6550 6762 7350 8050 9039 9170 9825 11270 12075 12838 13755 15065 16905 18078 19257 19650 21091 22925 24150 27510 28175 30130 32095 33810 38514 42182 45195 45850 56350 63273 64190 68775 75325 84525 90390 96285 105455 126546 137550 147637 150650 160475 169050 192570 210910 225975 295274 316365 320950 442911 451950 481425 527275 632730 738185 885822 962850 1054550 1476370 1581825 2214555 3163650 3690925 4429110 7381850 11072775 22145550