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22121550 = 232521141109
BaseRepresentation
bin101010001100…
…0110001001110
31112121220001200
41110120301032
521130342200
62110050330
7356013213
oct124306116
945556050
1022121550
111153a280
1274a99a6
134776c99
142d1bb0a
151e1e800
hex1518c4e

22121550 has 144 divisors (see below), whose sum is σ = 67026960. Its totient is φ = 5184000.

The previous prime is 22121543. The next prime is 22121563. The reversal of 22121550 is 5512122.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 202896 + ... + 203004.

It is an arithmetic number, because the mean of its divisors is an integer number (465465).

Almost surely, 222121550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33513480).

22121550 is an abundant number, since it is smaller than the sum of its proper divisors (44905410).

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

22121550 is a wasteful number, since it uses less digits than its factorization.

22121550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 22121550 is about 4703.3551853969. The cubic root of 22121550 is about 280.7190278376.

Adding to 22121550 its reverse (5512122), we get a palindrome (27633672).

The spelling of 22121550 in words is "twenty-two million, one hundred twenty-one thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 41 45 50 55 66 75 82 90 99 109 110 123 150 165 198 205 218 225 246 275 327 330 369 410 450 451 495 545 550 615 654 738 825 902 981 990 1025 1090 1199 1230 1353 1635 1650 1845 1962 2050 2255 2398 2475 2706 2725 3075 3270 3597 3690 4059 4469 4510 4905 4950 5450 5995 6150 6765 7194 8118 8175 8938 9225 9810 10791 11275 11990 13407 13530 16350 17985 18450 20295 21582 22345 22550 24525 26814 29975 33825 35970 40221 40590 44690 49050 49159 53955 59950 67035 67650 80442 89925 98318 101475 107910 111725 134070 147477 179850 201105 202950 223450 245795 269775 294954 335175 402210 442431 491590 539550 670350 737385 884862 1005525 1228975 1474770 2011050 2212155 2457950 3686925 4424310 7373850 11060775 22121550