Search a number
-
+
198143496 = 23341671831
BaseRepresentation
bin10111100111101…
…10111000001000
3111210211201210000
423303312320020
5401211042441
631354523000
74624122555
oct1363667010
9453751700
10198143496
11a1935161
1256436460
1332087295
141c45ba2c
15125de2b6
hexbcf6e08

198143496 has 80 divisors (see below), whose sum is σ = 558613440. Its totient is φ = 65616480.

The previous prime is 198143467. The next prime is 198143503. The reversal of 198143496 is 694341891.

198143496 is a `hidden beast` number, since 19 + 8 + 143 + 496 = 666.

It is a super-3 number, since 3×1981434963 (a number of 26 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 107301 + ... + 109131.

It is an arithmetic number, because the mean of its divisors is an integer number (6982668).

Almost surely, 2198143496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198143496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279306720).

198143496 is an abundant number, since it is smaller than the sum of its proper divisors (360469944).

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

198143496 is a wasteful number, since it uses less digits than its factorization.

198143496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 2003 counting only the distinct ones).

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

The square root of 198143496 is about 14076.3452643078. The cubic root of 198143496 is about 582.9884361915.

The spelling of 198143496 in words is "one hundred ninety-eight million, one hundred forty-three thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 167 216 324 334 501 648 668 1002 1336 1503 1831 2004 3006 3662 4008 4509 5493 6012 7324 9018 10986 12024 13527 14648 16479 18036 21972 27054 32958 36072 43944 49437 54108 65916 98874 108216 131832 148311 197748 296622 305777 395496 593244 611554 917331 1186488 1223108 1834662 2446216 2751993 3669324 5503986 7338648 8255979 11007972 16511958 22015944 24767937 33023916 49535874 66047832 99071748 198143496