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22549140 = 22325177369
BaseRepresentation
bin101011000000…
…1001010010100
31120102121121100
41112001022110
521233033030
62123150100
7362443635
oct126011224
946377540
1022549140
1111801559
127675330
1348967b3
142dcd88c
151ea6360
hex1581294

22549140 has 72 divisors (see below), whose sum is σ = 72432360. Its totient is φ = 5658624.

The previous prime is 22549133. The next prime is 22549141. The reversal of 22549140 is 4194522.

It can be written as a sum of positive squares in 4 ways, for example, as 9847044 + 12702096 = 3138^2 + 3564^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22549141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625 + ... + 6744.

It is an arithmetic number, because the mean of its divisors is an integer number (1006005).

Almost surely, 222549140 is an apocalyptic number.

22549140 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 22549140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36216180).

22549140 is an abundant number, since it is smaller than the sum of its proper divisors (49883220).

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

22549140 is a wasteful number, since it uses less digits than its factorization.

22549140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7401 (or 7396 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 22549140 is about 4748.5934759674. The cubic root of 22549140 is about 282.5161814941.

The spelling of 22549140 in words is "twenty-two million, five hundred forty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 7369 14738 22107 29476 36845 44214 66321 73690 88428 110535 125273 132642 147380 221070 250546 265284 331605 375819 442140 501092 626365 663210 751638 1127457 1252730 1326420 1503276 1879095 2254914 2505460 3758190 4509828 5637285 7516380 11274570 22549140