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198808992 = 253537691
BaseRepresentation
bin10111101100110…
…01010110100000
3111212002112200000
423312121112200
5401343341432
631421100000
74632564024
oct1366312640
9455075600
10198808992
11a224a158
12566b7600
133225b175
141c592384
15126c157c
hexbd995a0

198808992 has 144 divisors (see below), whose sum is σ = 603019872. Its totient is φ = 64385280.

The previous prime is 198808979. The next prime is 198808993. The reversal of 198808992 is 299808891.

It is a happy number.

198808992 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 (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (198808993) 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, 287367 + ... + 288057.

It is an arithmetic number, because the mean of its divisors is an integer number (4187638).

Almost surely, 2198808992 is an apocalyptic number.

198808992 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 198808992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301509936).

198808992 is an abundant number, since it is smaller than the sum of its proper divisors (404210880).

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

198808992 is an equidigital number, since it uses as much as digits as its factorization.

198808992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The square root of 198808992 is about 14099.9642552738. The cubic root of 198808992 is about 583.6403928608.

The spelling of 198808992 in words is "one hundred ninety-eight million, eight hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 81 96 108 111 144 148 162 216 222 243 288 296 324 333 432 444 486 592 648 666 691 864 888 972 999 1184 1296 1332 1382 1776 1944 1998 2073 2592 2664 2764 2997 3552 3888 3996 4146 5328 5528 5994 6219 7776 7992 8292 8991 10656 11056 11988 12438 15984 16584 17982 18657 22112 23976 24876 25567 31968 33168 35964 37314 47952 49752 51134 55971 66336 71928 74628 76701 95904 99504 102268 111942 143856 149256 153402 167913 199008 204536 223884 230103 287712 298512 306804 335826 409072 447768 460206 597024 613608 671652 690309 818144 895536 920412 1227216 1343304 1380618 1791072 1840824 2070927 2454432 2686608 2761236 3681648 4141854 5373216 5522472 6212781 7363296 8283708 11044944 12425562 16567416 22089888 24851124 33134832 49702248 66269664 99404496 198808992