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242022200 = 235271710169
BaseRepresentation
bin11100110110011…
…11011100111000
3121212102000001012
432123033130320
5443424202300
640003213052
75666104040
oct1633173470
9555360035
10242022200
11114684952
1269077188
133b1ab404
1424200720
15163aa435
hexe6cf738

242022200 has 96 divisors (see below), whose sum is σ = 680983200. Its totient is φ = 78090240.

The previous prime is 242022163. The next prime is 242022203. The reversal of 242022200 is 2220242.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242022203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18716 + ... + 28884.

It is an arithmetic number, because the mean of its divisors is an integer number (7093575).

Almost surely, 2242022200 is an apocalyptic number.

242022200 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 242022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340491600).

242022200 is an abundant number, since it is smaller than the sum of its proper divisors (438961000).

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

242022200 is a wasteful number, since it uses less digits than its factorization.

242022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10209 (or 10200 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 242022200 is about 15557.0627047653. The cubic root of 242022200 is about 623.1870234038.

Adding to 242022200 its reverse (2220242), we get a palindrome (244242442).

The spelling of 242022200 in words is "two hundred forty-two million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 136 140 170 175 200 238 280 340 350 425 476 595 680 700 850 952 1190 1400 1700 2380 2975 3400 4760 5950 10169 11900 20338 23800 40676 50845 71183 81352 101690 142366 172873 203380 254225 284732 345746 355915 406760 508450 569464 691492 711830 864365 1016900 1210111 1382984 1423660 1728730 1779575 2033800 2420222 2847320 3457460 3559150 4321825 4840444 6050555 6914920 7118300 8643650 9680888 12101110 14236600 17287300 24202220 30252775 34574600 48404440 60505550 121011100 242022200