Search a number
-
+
70224 = 24371119
BaseRepresentation
bin10001001001010000
310120022220
4101021100
54221344
61301040
7411510
oct211120
9116286
1070224
1148840
1234780
1325c6b
141b840
1515c19
hex11250

70224 has 80 divisors (see below), whose sum is σ = 238080. Its totient is φ = 17280.

The previous prime is 70223. The next prime is 70229. The reversal of 70224 is 42207.

It is a Cunningham number, because it is equal to 2652-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3687 + ... + 3705.

It is an arithmetic number, because the mean of its divisors is an integer number (2976).

270224 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 70224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119040).

70224 is an abundant number, since it is smaller than the sum of its proper divisors (167856).

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

70224 is a wasteful number, since it uses less digits than its factorization.

70224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 70224 is about 264.9981132008. The cubic root of 70224 is about 41.2567665667.

The spelling of 70224 in words is "seventy thousand, two hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 33 38 42 44 48 56 57 66 76 77 84 88 112 114 132 133 152 154 168 176 209 228 231 264 266 304 308 336 399 418 456 462 528 532 616 627 798 836 912 924 1064 1232 1254 1463 1596 1672 1848 2128 2508 2926 3192 3344 3696 4389 5016 5852 6384 8778 10032 11704 17556 23408 35112 70224