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198623696 = 24313779137
BaseRepresentation
bin10111101011011…
…00000111010000
3111211202010111012
423311230013100
5401321424241
631413110052
74631162555
oct1365540720
9454663435
10198623696
11a2132a17
1256628328
13321c4a1b
141c544a2c
15126866eb
hexbd6c1d0

198623696 has 80 divisors (see below), whose sum is σ = 416163840. Its totient is φ = 91653120.

The previous prime is 198623693. The next prime is 198623717. The reversal of 198623696 is 696326891.

198623696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1986236962 = 78902745225400832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198623693) 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, 1449740 + ... + 1449876.

It is an arithmetic number, because the mean of its divisors is an integer number (5202048).

Almost surely, 2198623696 is an apocalyptic number.

198623696 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 198623696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208081920).

198623696 is an abundant number, since it is smaller than the sum of its proper divisors (217540144).

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

198623696 is a wasteful number, since it uses less digits than its factorization.

198623696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 286 counting only the distinct ones).

The product of its digits is 839808, while the sum is 50.

The square root of 198623696 is about 14093.3919267152. The cubic root of 198623696 is about 583.4590129928.

The spelling of 198623696 in words is "one hundred ninety-eight million, six hundred twenty-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 31 37 62 74 79 124 137 148 158 248 274 296 316 496 548 592 632 1096 1147 1264 2192 2294 2449 2923 4247 4588 4898 5069 5846 8494 9176 9796 10138 10823 11692 16988 18352 19592 20276 21646 23384 33976 39184 40552 43292 46768 67952 81104 86584 90613 157139 173168 181226 314278 335513 362452 400451 628556 671026 724904 800902 1257112 1342052 1449808 1601804 2514224 2684104 3203608 5368208 6407216 12413981 24827962 49655924 99311848 198623696