Search a number
-
+
198398816 = 25711731103
BaseRepresentation
bin10111101001101…
…01001101100000
3111211022201000022
423310311031200
5401242230231
631404213012
74626235130
oct1364651540
9454281008
10198398816
11a1a99a70
125653a168
1332146565
141c4c6ac0
151263ec7b
hexbd35360

198398816 has 96 divisors (see below), whose sum is σ = 494097408. Its totient is φ = 76170240.

The previous prime is 198398813. The next prime is 198398843. The reversal of 198398816 is 618893891.

198398816 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198398813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179321 + ... + 180423.

It is an arithmetic number, because the mean of its divisors is an integer number (5146848).

Almost surely, 2198398816 is an apocalyptic number.

198398816 is a gapful number since it is divisible by the number (16) 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 198398816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247048704).

198398816 is an abundant number, since it is smaller than the sum of its proper divisors (295698592).

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

198398816 is a wasteful number, since it uses less digits than its factorization.

198398816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1196 counting only the distinct ones).

The product of its digits is 746496, while the sum is 53.

The square root of 198398816 is about 14085.4114600888. The cubic root of 198398816 is about 583.2387341200.

The spelling of 198398816 in words is "one hundred ninety-eight million, three hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 73 77 88 112 146 154 176 224 292 308 352 511 584 616 803 1022 1103 1168 1232 1606 2044 2206 2336 2464 3212 4088 4412 5621 6424 7721 8176 8824 11242 12133 12848 15442 16352 17648 22484 24266 25696 30884 35296 44968 48532 61768 80519 84931 89936 97064 123536 161038 169862 179872 194128 247072 322076 339724 388256 563633 644152 679448 885709 1127266 1288304 1358896 1771418 2254532 2576608 2717792 3542836 4509064 6199963 7085672 9018128 12399926 14171344 18036256 24799852 28342688 49599704 99199408 198398816