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22140340 = 2252959647
BaseRepresentation
bin101010001110…
…1010110110100
31112122211211121
41110131112310
521131442330
62110313324
7356122045
oct124352664
945584747
1022140340
1111552402
1274b8844
1347826c1
142d248cc
151e2517a
hex151d5b4

22140340 has 48 divisors (see below), whose sum is σ = 48988800. Its totient is φ = 8392832.

The previous prime is 22140323. The next prime is 22140343. The reversal of 22140340 is 4304122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22140343) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 33897 + ... + 34543.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 222140340 is an apocalyptic number.

22140340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22140340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24494400).

22140340 is an abundant number, since it is smaller than the sum of its proper divisors (26848460).

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

22140340 is a wasteful number, since it uses less digits than its factorization.

22140340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 22140340 is about 4705.3522716158. The cubic root of 22140340 is about 280.7984860701.

Adding to 22140340 its reverse (4304122), we get a palindrome (26444462).

The spelling of 22140340 in words is "twenty-two million, one hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 59 116 118 145 236 290 295 580 590 647 1180 1294 1711 2588 3235 3422 6470 6844 8555 12940 17110 18763 34220 37526 38173 75052 76346 93815 152692 187630 190865 375260 381730 763460 1107017 2214034 4428068 5535085 11070170 22140340