Search a number
-
+
272422000 = 24531967107
BaseRepresentation
bin10000001111001…
…101010001110000
3200222121110201201
4100033031101300
51024220001000
643010540544
76515356144
oct2017152160
9628543651
10272422000
1112a858754
1277297754
1344593366
1428275224
1518db296a
hex103cd470

272422000 has 160 divisors (see below), whose sum is σ = 710311680. Its totient is φ = 100742400.

The previous prime is 272421983. The next prime is 272422013. The reversal of 272422000 is 224272.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2545947 + ... + 2546053.

It is an arithmetic number, because the mean of its divisors is an integer number (4439448).

Almost surely, 2272422000 is an apocalyptic number.

272422000 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 272422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355155840).

272422000 is an abundant number, since it is smaller than the sum of its proper divisors (437889680).

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

272422000 is a wasteful number, since it uses less digits than its factorization.

272422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 272422000 is about 16505.2112982537. The cubic root of 272422000 is about 648.2572646122.

Adding to 272422000 its reverse (224272), we get a palindrome (272646272).

The spelling of 272422000 in words is "two hundred seventy-two million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 67 76 80 95 100 107 125 134 152 190 200 214 250 268 304 335 380 400 428 475 500 535 536 670 760 856 950 1000 1070 1072 1273 1340 1520 1675 1712 1900 2000 2033 2140 2375 2546 2675 2680 3350 3800 4066 4280 4750 5092 5350 5360 6365 6700 7169 7600 8132 8375 8560 9500 10165 10184 10700 12730 13375 13400 14338 16264 16750 19000 20330 20368 21400 25460 26750 26800 28676 31825 32528 33500 35845 38000 40660 42800 50825 50920 53500 57352 63650 67000 71690 81320 101650 101840 107000 114704 127300 134000 136211 143380 159125 162640 179225 203300 214000 254125 254600 272422 286760 318250 358450 406600 508250 509200 544844 573520 636500 681055 716900 813200 896125 1016500 1089688 1273000 1362110 1433800 1792250 2033000 2179376 2546000 2724220 2867600 3405275 3584500 4066000 5448440 6810550 7169000 10896880 13621100 14338000 17026375 27242200 34052750 54484400 68105500 136211000 272422000