Search a number
-
+
196499800 = 23527220051
BaseRepresentation
bin10111011011001…
…01100101011000
3111200202020001101
423231211211120
5400300443200
631255401144
74604135500
oct1355454530
9450666041
10196499800
11a0a12232
12559831b4
1331930093
141c150a00
15123b726a
hexbb65958

196499800 has 72 divisors (see below), whose sum is σ = 531478260. Its totient is φ = 67368000.

The previous prime is 196499791. The next prime is 196499803. The reversal of 196499800 is 8994691.

It is a super-2 number, since 2×1964998002 = 77224342800080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196499803) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 226 + ... + 19825.

Almost surely, 2196499800 is an apocalyptic number.

196499800 is a gapful number since it is divisible by the number (10) 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 196499800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265739130).

196499800 is an abundant number, since it is smaller than the sum of its proper divisors (334978460).

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

196499800 is a wasteful number, since it uses less digits than its factorization.

196499800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20081 (or 20065 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The square root of 196499800 is about 14017.8386351106. The cubic root of 196499800 is about 581.3719010525.

The spelling of 196499800 in words is "one hundred ninety-six million, four hundred ninety-nine thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 20051 40102 80204 100255 140357 160408 200510 280714 401020 501275 561428 701785 802040 982499 1002550 1122856 1403570 1964998 2005100 2807140 3508925 3929996 4010200 4912495 5614280 7017850 7859992 9824990 14035700 19649980 24562475 28071400 39299960 49124950 98249900 196499800