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22142700 = 22335259139
BaseRepresentation
bin101010001110…
…1111011101100
31112122222002000
41110131323230
521132031300
62110332300
7356131656
oct124357354
945588060
1022142700
1111554158
1274ba090
1347837b8
142d256d6
151e25c00
hex151deec

22142700 has 144 divisors (see below), whose sum is σ = 72912000. Its totient is φ = 5762880.

The previous prime is 22142693. The next prime is 22142707. The reversal of 22142700 is 724122.

It is an interprime number because it is at equal distance from previous prime (22142693) and next prime (22142707).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22142707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159231 + ... + 159369.

Almost surely, 222142700 is an apocalyptic number.

22142700 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 22142700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36456000).

22142700 is an abundant number, since it is smaller than the sum of its proper divisors (50769300).

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

22142700 is a wasteful number, since it uses less digits than its factorization.

22142700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 22142700 is about 4705.6030431816. The cubic root of 22142700 is about 280.8084627444.

Adding to 22142700 its reverse (724122), we get a palindrome (22866822).

The spelling of 22142700 in words is "twenty-two million, one hundred forty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 59 60 75 90 100 108 118 135 139 150 177 180 225 236 270 278 295 300 354 417 450 531 540 556 590 675 695 708 834 885 900 1062 1180 1251 1350 1390 1475 1593 1668 1770 2085 2124 2502 2655 2700 2780 2950 3186 3475 3540 3753 4170 4425 5004 5310 5900 6255 6372 6950 7506 7965 8201 8340 8850 10425 10620 12510 13275 13900 15012 15930 16402 17700 18765 20850 24603 25020 26550 31275 31860 32804 37530 39825 41005 41700 49206 53100 62550 73809 75060 79650 82010 93825 98412 123015 125100 147618 159300 164020 187650 205025 221427 246030 295236 369045 375300 410050 442854 492060 615075 738090 820100 885708 1107135 1230150 1476180 1845225 2214270 2460300 3690450 4428540 5535675 7380900 11071350 22142700