[go: up one dir, main page]

Search a number
-
+
216774816 = 25323313167
BaseRepresentation
bin11001110101110…
…11100010100000
3120002220022010220
430322323202200
5420443243231
633302123040
75241361356
oct1472734240
9502808126
10216774816
11101400145
1260720480
1335bab72b
1420b0b7d6
151406e896
hexcebb8a0

216774816 has 96 divisors (see below), whose sum is σ = 613122048. Its totient is φ = 66865920.

The previous prime is 216774799. The next prime is 216774821. The reversal of 216774816 is 618477612.

216774816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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, 66865 + ... + 70031.

It is an arithmetic number, because the mean of its divisors is an integer number (6386688).

Almost surely, 2216774816 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 216774816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306561024).

216774816 is an abundant number, since it is smaller than the sum of its proper divisors (396347232).

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

216774816 is a wasteful number, since it uses less digits than its factorization.

216774816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234 (or 3226 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 216774816 is about 14723.2746357595. The cubic root of 216774816 is about 600.7165661032.

The spelling of 216774816 in words is "two hundred sixteen million, seven hundred seventy-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 69 92 93 96 124 138 184 186 248 276 368 372 496 552 713 736 744 992 1104 1426 1488 2139 2208 2852 2976 3167 4278 5704 6334 8556 9501 11408 12668 17112 19002 22816 25336 34224 38004 50672 68448 72841 76008 98177 101344 145682 152016 196354 218523 291364 294531 304032 392708 437046 582728 589062 785416 874092 1165456 1178124 1570832 1748184 2258071 2330912 2356248 3141664 3496368 4516142 4712496 6774213 6992736 9032284 9424992 13548426 18064568 27096852 36129136 54193704 72258272 108387408 216774816