Search a number
-
+
472227120 = 243256171063
BaseRepresentation
bin11100001001011…
…001110100110000
31012220120121211100
4130021121310300
51431342231440
6114505244400
714462602311
oct3411316460
91186517740
10472227120
11222618252
12112193700
1376aaca41
1446a06608
152b6ce230
hex1c259d30

472227120 has 120 divisors (see below), whose sum is σ = 1589960736. Its totient is φ = 125604864.

The previous prime is 472227109. The next prime is 472227157. The reversal of 472227120 is 21722274.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 443709 + ... + 444771.

Almost surely, 2472227120 is an apocalyptic number.

472227120 is a gapful number since it is divisible by the number (40) 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 472227120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794980368).

472227120 is an abundant number, since it is smaller than the sum of its proper divisors (1117733616).

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

472227120 is a wasteful number, since it uses less digits than its factorization.

472227120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 472227120 is about 21730.7873764390. The cubic root of 472227120 is about 778.7241469551.

Adding to 472227120 its reverse (21722274), we get a palindrome (493949394).

The spelling of 472227120 in words is "four hundred seventy-two million, two hundred twenty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 617 720 1063 1234 1851 2126 2468 3085 3189 3702 4252 4936 5315 5553 6170 6378 7404 8504 9255 9567 9872 10630 11106 12340 12756 14808 15945 17008 18510 19134 21260 22212 24680 25512 27765 29616 31890 37020 38268 42520 44424 47835 49360 51024 55530 63780 74040 76536 85040 88848 95670 111060 127560 148080 153072 191340 222120 255120 382680 444240 655871 765360 1311742 1967613 2623484 3279355 3935226 5246968 5902839 6558710 7870452 9838065 10493936 11805678 13117420 15740904 19676130 23611356 26234840 29514195 31481808 39352260 47222712 52469680 59028390 78704520 94445424 118056780 157409040 236113560 472227120