Search a number
-
+
70221984 = 2537831259
BaseRepresentation
bin1000010111110…
…00000010100000
311220010122110020
410023320002200
5120434100414
610545033440
71511606550
oct413700240
9156118406
1070221984
11367028a8
121b625880
1311718891
14947d160
1562717a9
hex42f80a0

70221984 has 96 divisors (see below), whose sum is σ = 213373440. Its totient is φ = 19805952.

The previous prime is 70221973. The next prime is 70221989. The reversal of 70221984 is 48912207.

It is a happy number.

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

It is a super-2 number, since 2×702219842 = 9862254073792512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (70221989) 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, 55147 + ... + 56405.

It is an arithmetic number, because the mean of its divisors is an integer number (2222640).

Almost surely, 270221984 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 70221984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106686720).

70221984 is an abundant number, since it is smaller than the sum of its proper divisors (143151456).

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

70221984 is a wasteful number, since it uses less digits than its factorization.

70221984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 70221984 is about 8379.8558460155. The cubic root of 70221984 is about 412.5637176136.

The spelling of 70221984 in words is "seventy million, two hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 83 84 96 112 166 168 224 249 332 336 498 581 664 672 996 1162 1259 1328 1743 1992 2324 2518 2656 3486 3777 3984 4648 5036 6972 7554 7968 8813 9296 10072 13944 15108 17626 18592 20144 26439 27888 30216 35252 40288 52878 55776 60432 70504 104497 105756 120864 141008 208994 211512 282016 313491 417988 423024 626982 731479 835976 846048 1253964 1462958 1671952 2194437 2507928 2925916 3343904 4388874 5015856 5851832 8777748 10031712 11703664 17555496 23407328 35110992 70221984