Search a number
-
+
252220410204 = 2237137109719979
BaseRepresentation
bin1110101011100110000…
…0100000100101011100
3220010000200012101022020
43222321200200211130
513113021411111304
6311511330420140
724136154053620
oct3527140404534
9803020171266
10252220410204
1197a69934304
1240a70131650
131aa270b8599
14c2c9683180
156862c185d9
hex3ab982095c

252220410204 has 96 divisors (see below), whose sum is σ = 678148692480. Its totient is φ = 71468178432.

The previous prime is 252220410187. The next prime is 252220410271. The reversal of 252220410204 is 402014022252.

252220410204 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 12614287 + ... + 12634265.

It is an arithmetic number, because the mean of its divisors is an integer number (7064048880).

Almost surely, 2252220410204 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 252220410204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339074346240).

252220410204 is an abundant number, since it is smaller than the sum of its proper divisors (425928282276).

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

252220410204 is a wasteful number, since it uses less digits than its factorization.

252220410204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21227 (or 21225 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 252220410204 its reverse (402014022252), we get a palindrome (654234432456).

The spelling of 252220410204 in words is "two hundred fifty-two billion, two hundred twenty million, four hundred ten thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 137 274 411 548 822 959 1097 1644 1918 2194 2877 3291 3836 4388 5754 6582 7679 11508 13164 15358 19979 23037 30716 39958 46074 59937 79916 92148 119874 139853 150289 239748 279706 300578 419559 450867 559412 601156 839118 901734 1052023 1678236 1803468 2104046 2737123 3156069 4208092 5474246 6312138 8211369 10948492 12624276 16422738 19159861 21916963 32845476 38319722 43833926 57479583 65750889 76639444 87667852 114959166 131501778 153418741 229918332 263003556 306837482 460256223 613674964 920512446 1841024892 3002623931 6005247862 9007871793 12010495724 18015743586 21018367517 36031487172 42036735034 63055102551 84073470068 126110205102 252220410204