Search a number
-
+
10333220240 = 245785921481
BaseRepresentation
bin10011001111110100…
…00110110110010000
3222200010202222100202
421213322012312100
5132130301021430
64425204434332
7514031631350
oct114772066620
928603688322
1010333220240
114422919342
1220046a89a8
13c88a49c05
14700502b60
1540727ed45
hex267e86d90

10333220240 has 80 divisors (see below), whose sum is σ = 27490085760. Its totient is φ = 3538529280.

The previous prime is 10333220213. The next prime is 10333220257. The reversal of 10333220240 is 4202233301.

10333220240 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 470300 + ... + 491780.

It is an arithmetic number, because the mean of its divisors is an integer number (343626072).

Almost surely, 210333220240 is an apocalyptic number.

10333220240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10333220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13745042880).

10333220240 is an abundant number, since it is smaller than the sum of its proper divisors (17156865520).

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

10333220240 is a wasteful number, since it uses less digits than its factorization.

10333220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22360 (or 22354 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 10333220240 its reverse (4202233301), we get a palindrome (14535453541).

The spelling of 10333220240 in words is "ten billion, three hundred thirty-three million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 859 1718 3436 4295 6013 6872 8590 12026 13744 17180 21481 24052 30065 34360 42962 48104 60130 68720 85924 96208 107405 120260 150367 171848 214810 240520 300734 343696 429620 481040 601468 751835 859240 1202936 1503670 1718480 2405872 3007340 6014680 12029360 18452179 36904358 73808716 92260895 129165253 147617432 184521790 258330506 295234864 369043580 516661012 645826265 738087160 1033322024 1291652530 1476174320 2066644048 2583305060 5166610120 10333220240