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16221150 = 232521129113
BaseRepresentation
bin111101111000…
…001111011110
31010112010020100
4331320033132
513123034100
61335401530
7254606661
oct75701736
933463210
1016221150
11917a210
1255232a6
13348c41a
1422236d8
151656400
hexf783de

16221150 has 144 divisors (see below), whose sum is σ = 49617360. Its totient is φ = 3763200.

The previous prime is 16221143. The next prime is 16221151. The reversal of 16221150 is 5112261.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16221151) 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, 143494 + ... + 143606.

It is an arithmetic number, because the mean of its divisors is an integer number (344565).

Almost surely, 216221150 is an apocalyptic number.

16221150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16221150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24808680).

16221150 is an abundant number, since it is smaller than the sum of its proper divisors (33396210).

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

16221150 is a wasteful number, since it uses less digits than its factorization.

16221150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 16221150 is about 4027.5488823849. The cubic root of 16221150 is about 253.1398665251.

Subtracting from 16221150 its reverse (5112261), we obtain a square (11108889 = 33332).

It can be divided in two parts, 162211 and 50, that added together give a palindrome (162261).

The spelling of 16221150 in words is "sixteen million, two hundred twenty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 29 30 33 45 50 55 58 66 75 87 90 99 110 113 145 150 165 174 198 225 226 261 275 290 319 330 339 435 450 495 522 550 565 638 678 725 825 870 957 990 1017 1130 1243 1305 1450 1595 1650 1695 1914 2034 2175 2475 2486 2610 2825 2871 3190 3277 3390 3729 4350 4785 4950 5085 5650 5742 6215 6525 6554 7458 7975 8475 9570 9831 10170 11187 12430 13050 14355 15950 16385 16950 18645 19662 22374 23925 25425 28710 29493 31075 32770 36047 37290 47850 49155 50850 55935 58986 62150 71775 72094 81925 93225 98310 108141 111870 143550 147465 163850 180235 186450 216282 245775 279675 294930 324423 360470 491550 540705 559350 648846 737325 901175 1081410 1474650 1622115 1802350 2703525 3244230 5407050 8110575 16221150