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22120050 = 2352316771
BaseRepresentation
bin101010001100…
…0011001110010
31112121211000010
41110120121302
521130320200
62110035350
7356005641
oct124303162
945554003
1022120050
1111539137
1274a8b56
1347763b4
142d1b358
151e1e150
hex1518672

22120050 has 96 divisors (see below), whose sum is σ = 58281984. Its totient is φ = 5544000.

The previous prime is 22120031. The next prime is 22120057. The reversal of 22120050 is 5002122.

It is a super-2 number, since 2×221200502 = 978593224005000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22120057) by changing a digit.

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, 311515 + ... + 311585.

It is an arithmetic number, because the mean of its divisors is an integer number (607104).

Almost surely, 222120050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22120050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29140992).

22120050 is an abundant number, since it is smaller than the sum of its proper divisors (36161934).

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

22120050 is a wasteful number, since it uses less digits than its factorization.

22120050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 22120050 is about 4703.1957220596. The cubic root of 22120050 is about 280.7126827719.

Adding to 22120050 its reverse (5002122), we get a palindrome (27122172).

The spelling of 22120050 in words is "twenty-two million, one hundred twenty thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 67 71 75 93 134 142 150 155 186 201 213 310 335 355 402 426 465 670 710 775 930 1005 1065 1550 1675 1775 2010 2077 2130 2201 2325 3350 3550 4154 4402 4650 4757 5025 5325 6231 6603 9514 10050 10385 10650 11005 12462 13206 14271 20770 22010 23785 28542 31155 33015 47570 51925 55025 62310 66030 71355 103850 110050 118925 142710 147467 155775 165075 237850 294934 311550 330150 356775 442401 713550 737335 884802 1474670 2212005 3686675 4424010 7373350 11060025 22120050