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234422000 = 24531931199
BaseRepresentation
bin11011111100011…
…11111011110000
3121100002212112022
431332033323300
5440003001000
635132251012
75544361031
oct1576177360
9540085468
10234422000
1111036379a
1266610a68
1339749c57
14231c2a88
15158a8585
hexdf8fef0

234422000 has 160 divisors (see below), whose sum is σ = 619008000. Its totient is φ = 85536000.

The previous prime is 234421997. The next prime is 234422009. The reversal of 234422000 is 224432.

It is a self number, because there is not a number n which added to its sum of digits gives 234422000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234422009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1177901 + ... + 1178099.

It is an arithmetic number, because the mean of its divisors is an integer number (3868800).

Almost surely, 2234422000 is an apocalyptic number.

234422000 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 234422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309504000).

234422000 is an abundant number, since it is smaller than the sum of its proper divisors (384586000).

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

234422000 is a wasteful number, since it uses less digits than its factorization.

234422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 234422000 is about 15310.8458290194. The cubic root of 234422000 is about 616.5942289721.

Adding to 234422000 its reverse (224432), we get a palindrome (234646432).

The spelling of 234422000 in words is "two hundred thirty-four million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 31 38 40 50 62 76 80 95 100 124 125 152 155 190 199 200 248 250 304 310 380 398 400 475 496 500 589 620 760 775 796 950 995 1000 1178 1240 1520 1550 1592 1900 1990 2000 2356 2375 2480 2945 3100 3184 3781 3800 3875 3980 4712 4750 4975 5890 6169 6200 7562 7600 7750 7960 9424 9500 9950 11780 12338 12400 14725 15124 15500 15920 18905 19000 19900 23560 24676 24875 29450 30248 30845 31000 37810 38000 39800 47120 49352 49750 58900 60496 61690 62000 73625 75620 79600 94525 98704 99500 117211 117800 123380 147250 151240 154225 189050 199000 234422 235600 246760 294500 302480 308450 378100 398000 468844 472625 493520 586055 589000 616900 756200 771125 937688 945250 1172110 1178000 1233800 1512400 1542250 1875376 1890500 2344220 2467600 2930275 3084500 3781000 4688440 5860550 6169000 7562000 9376880 11721100 12338000 14651375 23442200 29302750 46884400 58605500 117211000 234422000