Search a number
-
+
2216673984 = 26371649311
BaseRepresentation
bin1000010000011111…
…1100001011000000
312201111001201001110
42010013330023000
514014432031414
61003543003320
7105634263240
oct20407741300
95644051043
102216673984
11a38288a78
1251a439540
1329431bc15
1417057bb20
15ce912459
hex841fc2c0

2216673984 has 56 divisors (see below), whose sum is σ = 6702803968. Its totient is φ = 633335040.

The previous prime is 2216673929. The next prime is 2216673997. The reversal of 2216673984 is 4893766122.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 823312 + ... + 825999.

It is an arithmetic number, because the mean of its divisors is an integer number (119692928).

Almost surely, 22216673984 is an apocalyptic number.

2216673984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2216673984 is an abundant number, since it is smaller than the sum of its proper divisors (4486129984).

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

2216673984 is a wasteful number, since it uses less digits than its factorization.

2216673984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649333 (or 1649323 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 2216673984 is about 47081.5673485920. The cubic root of 2216673984 is about 1303.8689443860.

The spelling of 2216673984 in words is "two billion, two hundred sixteen million, six hundred seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1649311 3298622 4947933 6597244 9895866 11545177 13194488 19791732 23090354 26388976 34635531 39583464 46180708 52777952 69271062 79166928 92361416 105555904 138542124 158333856 184722832 277084248 316667712 369445664 554168496 738891328 1108336992 2216673984