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22245140 = 22523371307
BaseRepresentation
bin101010011011…
…0111100010100
31112212011121002
41110312330110
521143321030
62112442432
7360036431
oct124667424
945764532
1022245140
1111614115
127549418
1347bb308
142d50b88
151e46245
hex1536f14

22245140 has 48 divisors (see below), whose sum is σ = 50101632. Its totient is φ = 8274816.

The previous prime is 22245133. The next prime is 22245151. The reversal of 22245140 is 4154222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 16367 + ... + 17673.

It is an arithmetic number, because the mean of its divisors is an integer number (1043784).

Almost surely, 222245140 is an apocalyptic number.

22245140 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 22245140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25050816).

22245140 is an abundant number, since it is smaller than the sum of its proper divisors (27856492).

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

22245140 is a wasteful number, since it uses less digits than its factorization.

22245140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 22245140 is about 4716.4753789244. The cubic root of 22245140 is about 281.2408365739.

Adding to 22245140 its reverse (4154222), we get a palindrome (26399362).

The spelling of 22245140 in words is "twenty-two million, two hundred forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 37 46 74 92 115 148 185 230 370 460 740 851 1307 1702 2614 3404 4255 5228 6535 8510 13070 17020 26140 30061 48359 60122 96718 120244 150305 193436 241795 300610 483590 601220 967180 1112257 2224514 4449028 5561285 11122570 22245140