Search a number
-
+
420224512 = 292772963
BaseRepresentation
bin11001000011000…
…001111000000000
31002021201121122211
4121003001320000
51330034141022
6105410511504
713261564231
oct3103017000
91067647584
10420224512
111a6229994
12b8895594
13690a2c76
143db4b088
1526d5ae77
hex190c1e00

420224512 has 40 divisors (see below), whose sum is σ = 842943816. Its totient is φ = 209283072.

The previous prime is 420224489. The next prime is 420224521. The reversal of 420224512 is 215422024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 140343 + ... + 143305.

Almost surely, 2420224512 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 420224512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421471908).

420224512 is an abundant number, since it is smaller than the sum of its proper divisors (422719304).

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

420224512 is an equidigital number, since it uses as much as digits as its factorization.

420224512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 420224512 is about 20499.3783320373. The cubic root of 420224512 is about 749.0206547709.

Adding to 420224512 its reverse (215422024), we get a palindrome (635646536).

The spelling of 420224512 in words is "four hundred twenty million, two hundred twenty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 277 512 554 1108 2216 2963 4432 5926 8864 11852 17728 23704 35456 47408 70912 94816 141824 189632 379264 758528 820751 1517056 1641502 3283004 6566008 13132016 26264032 52528064 105056128 210112256 420224512