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198804256 = 2571723783
BaseRepresentation
bin10111101100110…
…00001100100000
3111212002022011121
423312120030200
5401343214011
631421022024
74632544150
oct1366301440
9455068147
10198804256
11a2246642
12566b4914
1332258c71
141c590760
15126bee71
hexbd98320

198804256 has 144 divisors (see below), whose sum is σ = 493891776. Its totient is φ = 77082624.

The previous prime is 198804253. The next prime is 198804257. The reversal of 198804256 is 652408891.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (198804253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2395191 + ... + 2395273.

It is an arithmetic number, because the mean of its divisors is an integer number (3429804).

Almost surely, 2198804256 is an apocalyptic number.

198804256 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 198804256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246945888).

198804256 is an abundant number, since it is smaller than the sum of its proper divisors (295087520).

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

198804256 is a wasteful number, since it uses less digits than its factorization.

198804256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The square root of 198804256 is about 14099.7963105855. The cubic root of 198804256 is about 583.6357583574.

The spelling of 198804256 in words is "one hundred ninety-eight million, eight hundred four thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 37 56 68 74 83 112 119 136 148 166 224 238 259 272 289 296 332 476 518 544 578 581 592 629 664 952 1036 1156 1162 1184 1258 1328 1411 1904 2023 2072 2312 2324 2516 2656 2822 3071 3808 4046 4144 4403 4624 4648 5032 5644 6142 8092 8288 8806 9248 9296 9877 10064 10693 11288 12284 16184 17612 18592 19754 20128 21386 21497 22576 23987 24568 32368 35224 39508 42772 42994 45152 47974 49136 52207 64736 70448 74851 79016 85544 85988 95948 98272 104414 140896 149702 158032 167909 171088 171976 191896 208828 299404 316064 335818 342176 343952 365449 383792 417656 598808 671636 687904 730898 767584 835312 887519 1197616 1343272 1461796 1670624 1775038 2395232 2686544 2923592 3550076 5373088 5847184 6212633 7100152 11694368 12425266 14200304 24850532 28400608 49701064 99402128 198804256