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11214450 = 235521371
BaseRepresentation
bin101010110001…
…111001110010
3210002202100000
4222301321302
510332330300
61040210430
7164215122
oct52617162
923082300
1011214450
11636a645
123909a16
132428590
1416bcc82
15eb7c00
hexab1e72

11214450 has 144 divisors (see below), whose sum is σ = 34122816. Its totient is φ = 2721600.

The previous prime is 11214449. The next prime is 11214473. The reversal of 11214450 is 5441211.

11214450 is a `hidden beast` number, since 1 + 1 + 214 + 450 = 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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 157915 + ... + 157985.

It is an arithmetic number, because the mean of its divisors is an integer number (236964).

Almost surely, 211214450 is an apocalyptic number.

11214450 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 11214450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061408).

11214450 is an abundant number, since it is smaller than the sum of its proper divisors (22908366).

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

11214450 is a wasteful number, since it uses less digits than its factorization.

11214450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 11214450 is about 3348.7982919250. The cubic root of 11214450 is about 223.8339676321.

Adding to 11214450 its reverse (5441211), we get a palindrome (16655661).

It can be divided in two parts, 11214 and 450, that added together give a square (11664 = 1082).

The spelling of 11214450 in words is "eleven million, two hundred fourteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 71 75 78 81 90 117 130 135 142 150 162 195 213 225 234 243 270 325 351 355 390 405 426 450 486 585 639 650 675 702 710 810 923 975 1053 1065 1170 1215 1278 1350 1755 1775 1846 1917 1950 2025 2106 2130 2430 2769 2925 3159 3195 3510 3550 3834 4050 4615 5265 5325 5538 5751 5850 6075 6318 6390 8307 8775 9230 9585 10530 10650 11502 12150 13845 15795 15975 16614 17253 17550 19170 23075 24921 26325 27690 28755 31590 31950 34506 41535 46150 47925 49842 52650 57510 69225 74763 78975 83070 86265 95850 124605 138450 143775 149526 157950 172530 207675 224289 249210 287550 373815 415350 431325 448578 623025 747630 862650 1121445 1246050 1869075 2242890 3738150 5607225 11214450