Search a number
-
+
216780888 = 23323439133
BaseRepresentation
bin11001110101111…
…01000001011000
3120002220121110210
430322331001120
5420443442023
633302211120
75241415152
oct1472750130
9502817423
10216780888
11101404765
1260723aa0
1335bb141c
1420b0dad2
1514071593
hexcebd058

216780888 has 64 divisors (see below), whose sum is σ = 578730240. Its totient is φ = 67503744.

The previous prime is 216780877. The next prime is 216780901. The reversal of 216780888 is 888087612.

216780888 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 15 ways as a sum of consecutive naturals, for example, 19170 + ... + 28302.

It is an arithmetic number, because the mean of its divisors is an integer number (9042660).

Almost surely, 2216780888 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 216780888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289365120).

216780888 is an abundant number, since it is smaller than the sum of its proper divisors (361949352).

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

216780888 is a wasteful number, since it uses less digits than its factorization.

216780888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9208 (or 9204 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 48.

The square root of 216780888 is about 14723.4808384431. The cubic root of 216780888 is about 600.7221748681.

The spelling of 216780888 in words is "two hundred sixteen million, seven hundred eighty thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 43 46 69 86 92 129 138 172 184 258 276 344 516 552 989 1032 1978 2967 3956 5934 7912 9133 11868 18266 23736 27399 36532 54798 73064 109596 210059 219192 392719 420118 630177 785438 840236 1178157 1260354 1570876 1680472 2356314 2520708 3141752 4712628 5041416 9032537 9425256 18065074 27097611 36130148 54195222 72260296 108390444 216780888