Search a number
-
+
631246122 = 23413378101
BaseRepresentation
bin100101101000000…
…000110100101010
31121222210121220000
4211220000310222
52243044333442
6142345443430
721433334463
oct4550006452
91558717800
10631246122
112a435a611
121574a0576
13a0a18b20
145db9bd6a
153a640d4c
hex25a00d2a

631246122 has 80 divisors (see below), whose sum is σ = 1564625832. Its totient is φ = 188956800.

The previous prime is 631246093. The next prime is 631246123. The reversal of 631246122 is 221642136.

631246122 is a `hidden beast` number, since 631 + 2 + 4 + 6 + 1 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 630964161 + 281961 = 25119^2 + 531^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (631246123) 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 39 ways as a sum of consecutive naturals, for example, 73872 + ... + 81972.

Almost surely, 2631246122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631246122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782312916).

631246122 is an abundant number, since it is smaller than the sum of its proper divisors (933379710).

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

631246122 is a wasteful number, since it uses less digits than its factorization.

631246122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8165 (or 8156 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 631246122 is about 25124.6118775992. The cubic root of 631246122 is about 857.8267291557.

Adding to 631246122 its reverse (221642136), we get a palindrome (852888258).

It can be divided in two parts, 631 and 246122, that added together give a triangular number (246753 = T702).

The spelling of 631246122 in words is "six hundred thirty-one million, two hundred forty-six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 37 39 54 74 78 81 111 117 162 222 234 333 351 481 666 702 962 999 1053 1443 1998 2106 2886 2997 4329 5994 8101 8658 12987 16202 24303 25974 38961 48606 72909 77922 105313 145818 210626 218727 299737 315939 437454 599474 631878 656181 899211 947817 1312362 1798422 1895634 2697633 2843451 3896581 5395266 5686902 7793162 8092899 8530353 11689743 16185798 17060706 23379486 24278697 35069229 48557394 70138458 105207687 210415374 315623061 631246122