Search a number
-
+
196468224 = 293373457
BaseRepresentation
bin10111011010111…
…01111000000000
3111200200121201220
423231131320000
5400243440344
631254555040
74603644441
oct1355357000
9450617656
10196468224
11a09a0537
1255968a80
133191b8b4
141c1432c8
15123acc19
hexbb5de00

196468224 has 80 divisors (see below), whose sum is σ = 537705168. Its totient is φ = 63700992.

The previous prime is 196468213. The next prime is 196468309. The reversal of 196468224 is 422864691.

196468224 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55104 + ... + 58560.

Almost surely, 2196468224 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 196468224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268852584).

196468224 is an abundant number, since it is smaller than the sum of its proper divisors (341236944).

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

196468224 is an equidigital number, since it uses as much as digits as its factorization.

196468224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515 (or 3499 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 196468224 is about 14016.7123106669. The cubic root of 196468224 is about 581.3407587264.

The spelling of 196468224 in words is "one hundred ninety-six million, four hundred sixty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1184 1536 1776 2368 3457 3552 4736 6914 7104 9472 10371 13828 14208 18944 20742 27656 28416 41484 55312 56832 82968 110624 127909 165936 221248 255818 331872 383727 442496 511636 663744 767454 884992 1023272 1327488 1534908 1769984 2046544 2654976 3069816 4093088 5309952 6139632 8186176 12279264 16372352 24558528 32744704 49117056 65489408 98234112 196468224