Search a number
-
+
216456280 = 23571199383
BaseRepresentation
bin11001110011011…
…01110001011000
3120002022010012021
430321231301120
5420403100110
633251224224
75235563605
oct1471556130
9502263167
10216456280
11101202897
12605a8074
1335ac9751
1420a676ac
151400a2da
hexce6dc58

216456280 has 64 divisors (see below), whose sum is σ = 497664000. Its totient is φ = 84712320.

The previous prime is 216456269. The next prime is 216456283. The reversal of 216456280 is 82654612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216456283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564969 + ... + 565351.

It is an arithmetic number, because the mean of its divisors is an integer number (7776000).

Almost surely, 2216456280 is an apocalyptic number.

216456280 is a gapful number since it is divisible by the number (20) 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 216456280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248832000).

216456280 is an abundant number, since it is smaller than the sum of its proper divisors (281207720).

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

216456280 is a wasteful number, since it uses less digits than its factorization.

216456280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 216456280 is about 14712.4532284728. The cubic root of 216456280 is about 600.4221843458.

The spelling of 216456280 in words is "two hundred sixteen million, four hundred fifty-six thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 71 142 199 284 355 383 398 568 710 766 796 995 1420 1532 1592 1915 1990 2840 3064 3830 3980 7660 7960 14129 15320 27193 28258 54386 56516 70645 76217 108772 113032 135965 141290 152434 217544 271930 282580 304868 381085 543860 565160 609736 762170 1087720 1524340 3048680 5411407 10822814 21645628 27057035 43291256 54114070 108228140 216456280