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198839232 = 2633235003
BaseRepresentation
bin10111101101000…
…00101111000000
3111212011002011000
423312200233000
5401400323412
631421452000
74633051134
oct1366405700
9455132130
10198839232
11a226a949
1256711000
133226bb67
141c59d3c4
15126ca4dc
hexbda0bc0

198839232 has 112 divisors (see below), whose sum is σ = 610087680. Its totient is φ = 63385344.

The previous prime is 198839231. The next prime is 198839243. The reversal of 198839232 is 232938891.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198839231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37243 + ... + 42245.

Almost surely, 2198839232 is an apocalyptic number.

198839232 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 198839232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305043840).

198839232 is an abundant number, since it is smaller than the sum of its proper divisors (411248448).

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

198839232 is a wasteful number, since it uses less digits than its factorization.

198839232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5047 (or 5031 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 198839232 is about 14101.0365576436. The cubic root of 198839232 is about 583.6699830561.

The spelling of 198839232 in words is "one hundred ninety-eight million, eight hundred thirty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 276 288 368 414 432 552 576 621 736 828 864 1104 1242 1472 1656 1728 2208 2484 3312 4416 4968 5003 6624 9936 10006 13248 15009 19872 20012 30018 39744 40024 45027 60036 80048 90054 115069 120072 135081 160096 180108 230138 240144 270162 320192 345207 360216 460276 480288 540324 690414 720432 920552 960576 1035621 1080648 1380828 1440864 1841104 2071242 2161296 2761656 2881728 3106863 3682208 4142484 4322592 5523312 6213726 7364416 8284968 8645184 11046624 12427452 16569936 22093248 24854904 33139872 49709808 66279744 99419616 198839232