Search a number
-
+
10322230420 = 2252937347713
BaseRepresentation
bin10011001110100000…
…01011110010010100
3222122101002122011101
421213100023302110
5132114442333140
64424133115444
7513536340145
oct114720136224
928571078141
1010322230420
1144176a2547
122000a88b84
13c8669c968
146dcc81acc
1540630d99a
hex26740bc94

10322230420 has 48 divisors (see below), whose sum is σ = 22484745360. Its totient is φ = 3975745536.

The previous prime is 10322230411. The next prime is 10322230427. The reversal of 10322230420 is 2403222301.

It can be written as a sum of positive squares in 8 ways, for example, as 736253956 + 9585976464 = 27134^2 + 97908^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10322230427) 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, 192484 + ... + 240196.

It is an arithmetic number, because the mean of its divisors is an integer number (468432195).

Almost surely, 210322230420 is an apocalyptic number.

10322230420 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 10322230420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11242372680).

10322230420 is an abundant number, since it is smaller than the sum of its proper divisors (12162514940).

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

10322230420 is a wasteful number, since it uses less digits than its factorization.

10322230420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48124 (or 48122 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 10322230420 its reverse (2403222301), we get a palindrome (12725452721).

The spelling of 10322230420 in words is "ten billion, three hundred twenty-two million, two hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 373 580 746 1492 1865 3730 7460 10817 21634 43268 47713 54085 95426 108170 190852 216340 238565 477130 954260 1383677 2767354 5534708 6918385 13836770 17796949 27673540 35593898 71187796 88984745 177969490 355938980 516111521 1032223042 2064446084 2580557605 5161115210 10322230420