Search a number
-
+
970460224 = 2661331751
BaseRepresentation
bin111001110110000…
…000110001000000
32111122002111011021
4321312000301000
53441414211344
6240144155224
733022530046
oct7166006100
92448074137
10970460224
11458888148
12231008b14
13126096826
1492c5c396
155a2e8b84
hex39d80c40

970460224 has 56 divisors (see below), whose sum is σ = 1965854336. Its totient is φ = 475200000.

The previous prime is 970460221. The next prime is 970460233. The reversal of 970460224 is 422064079.

It is a super-2 number, since 2×9704602242 = 1883586092732260352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 970460224.

It is not an unprimeable number, because it can be changed into a prime (970460221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1291849 + ... + 1292599.

Almost surely, 2970460224 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 970460224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982927168).

970460224 is an abundant number, since it is smaller than the sum of its proper divisors (995394112).

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

970460224 is a wasteful number, since it uses less digits than its factorization.

970460224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 970460224 is about 31152.2105796683. The cubic root of 970460224 is about 990.0548294634.

The spelling of 970460224 in words is "nine hundred seventy million, four hundred sixty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 61 64 122 244 331 488 662 751 976 1324 1502 1952 2648 3004 3904 5296 6008 10592 12016 20191 21184 24032 40382 45811 48064 80764 91622 161528 183244 248581 323056 366488 497162 646112 732976 994324 1292224 1465952 1988648 2931904 3977296 7954592 15163441 15909184 30326882 60653764 121307528 242615056 485230112 970460224