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198808512 = 2637532791
BaseRepresentation
bin10111101100110…
…01001111000000
3111212002112000020
423312121033000
5401343333022
631421053440
74632562440
oct1366311700
9455075006
10198808512
11a2249861
12566b7280
133225ab96
141c592120
15126c135c
hexbd993c0

198808512 has 112 divisors (see below), whose sum is σ = 612721152. Its totient is φ = 55710720.

The previous prime is 198808499. The next prime is 198808529. The reversal of 198808512 is 215808891.

198808512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69837 + ... + 72627.

Almost surely, 2198808512 is an apocalyptic number.

198808512 is a gapful number since it is divisible by the number (12) 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 198808512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306360576).

198808512 is an abundant number, since it is smaller than the sum of its proper divisors (413912640).

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

198808512 is a wasteful number, since it uses less digits than its factorization.

198808512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 42.

The square root of 198808512 is about 14099.9472339438. The cubic root of 198808512 is about 583.6399231510.

The spelling of 198808512 in words is "one hundred ninety-eight million, eight hundred eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 159 168 192 212 224 318 336 371 424 448 636 672 742 848 1113 1272 1344 1484 1696 2226 2544 2791 2968 3392 4452 5088 5582 5936 8373 8904 10176 11164 11872 16746 17808 19537 22328 23744 33492 35616 39074 44656 58611 66984 71232 78148 89312 117222 133968 147923 156296 178624 234444 267936 295846 312592 443769 468888 535872 591692 625184 887538 937776 1035461 1183384 1250368 1775076 1875552 2070922 2366768 3106383 3550152 3751104 4141844 4733536 6212766 7100304 8283688 9467072 12425532 14200608 16567376 24851064 28401216 33134752 49702128 66269504 99404256 198808512