Search a number
-
+
216440320 = 295591433
BaseRepresentation
bin11001110011010…
…01111000000000
3120002021022022011
430321221320000
5420402042240
633251022304
75235466225
oct1471517000
9502238264
10216440320
111011a18a8
126059a994
1335ac23c5
1420a6194c
15140056ea
hexce69e00

216440320 has 80 divisors (see below), whose sum is σ = 528113520. Its totient is φ = 85049344.

The previous prime is 216440317. The next prime is 216440339. The reversal of 216440320 is 23044612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 216440291 and 216440300.

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, 150324 + ... + 151756.

It is an arithmetic number, because the mean of its divisors is an integer number (6601419).

Almost surely, 2216440320 is an apocalyptic number.

216440320 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 216440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264056760).

216440320 is an abundant number, since it is smaller than the sum of its proper divisors (311673200).

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

216440320 is an equidigital number, since it uses as much as digits as its factorization.

216440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 216440320 is about 14711.9108208281. The cubic root of 216440320 is about 600.4074269798.

Adding to 216440320 its reverse (23044612), we get a palindrome (239484932).

The spelling of 216440320 in words is "two hundred sixteen million, four hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 128 160 236 256 295 320 472 512 590 640 944 1180 1280 1433 1888 2360 2560 2866 3776 4720 5732 7165 7552 9440 11464 14330 15104 18880 22928 28660 30208 37760 45856 57320 75520 84547 91712 114640 151040 169094 183424 229280 338188 366848 422735 458560 676376 733696 845470 917120 1352752 1690940 1834240 2705504 3381880 3668480 5411008 6763760 10822016 13527520 21644032 27055040 43288064 54110080 108220160 216440320