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219797380 = 225112947733
BaseRepresentation
bin11010001100111…
…01011110000100
3120022120212022201
431012131132010
5422232004010
633451004244
75306150455
oct1506353604
9508525281
10219797380
11103085030
1261739684
13366c942a
142129712c
151446a23a
hexd19d784

219797380 has 96 divisors (see below), whose sum is σ = 532707840. Its totient is φ = 75425280.

The previous prime is 219797371. The next prime is 219797387. The reversal of 219797380 is 83797912.

It is a happy number.

219797380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 219797380.

It is not an unprimeable number, because it can be changed into a prime (219797387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299494 + ... + 300226.

It is an arithmetic number, because the mean of its divisors is an integer number (5549040).

Almost surely, 2219797380 is an apocalyptic number.

219797380 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 219797380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266353920).

219797380 is an abundant number, since it is smaller than the sum of its proper divisors (312910460).

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

219797380 is a wasteful number, since it uses less digits than its factorization.

219797380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 46.

The square root of 219797380 is about 14825.5650819792. The cubic root of 219797380 is about 603.4956866647.

The spelling of 219797380 in words is "two hundred nineteen million, seven hundred ninety-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 29 44 47 55 58 94 110 116 145 188 220 235 290 319 470 517 580 638 733 940 1034 1276 1363 1466 1595 2068 2585 2726 2932 3190 3665 5170 5452 6380 6815 7330 8063 10340 13630 14660 14993 16126 21257 27260 29986 32252 34451 40315 42514 59972 68902 74965 80630 85028 106285 137804 149930 161260 172255 212570 233827 299860 344510 378961 425140 467654 689020 757922 935308 999079 1169135 1515844 1894805 1998158 2338270 3789610 3996316 4676540 4995395 7579220 9990790 10989869 19981580 21979738 43959476 54949345 109898690 219797380