Search a number
-
+
22435845796 = 22721328232
BaseRepresentation
bin10100111001010001…
…111101011010100100
32010220121000001111201
4110321101331122210
5331422034031141
614150142012244
71422660354100
oct247121753244
963817001451
1022435845796
1195734a5021
124421877084
132167234300
14112b9d6900
158b4a23031
hex53947d6a4

22435845796 has 81 divisors (see below), whose sum is σ = 49516697601. Its totient is φ = 8864934624.

The previous prime is 22435845793. The next prime is 22435845797. The reversal of 22435845796 is 69754853422.

It is a happy number.

The square root of 22435845796 is 149786.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3318912100 + 19116933696 = 57610^2 + 138264^2 .

It is not an unprimeable number, because it can be changed into a prime (22435845793) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27260641 + ... + 27261463.

Almost surely, 222435845796 is an apocalyptic number.

22435845796 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

22435845796 is the 149786-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22435845796

22435845796 is an abundant number, since it is smaller than the sum of its proper divisors (27080851805).

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

22435845796 is an equidigital number, since it uses as much as digits as its factorization.

22435845796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 845 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 55.

The spelling of 22435845796 in words is "twenty-two billion, four hundred thirty-five million, eight hundred forty-five thousand, seven hundred ninety-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 823 1183 1274 1646 2366 2548 3292 4732 5761 8281 10699 11522 16562 21398 23044 33124 40327 42796 74893 80654 139087 149786 161308 278174 299572 524251 556348 677329 973609 1048502 1354658 1947218 2097004 2709316 3894436 4741303 6815263 8805277 9482606 13630526 17610554 18965212 27261052 33189121 35221108 61636939 66378242 114468601 123273878 132756484 228937202 246547756 431458573 457874404 801280207 862917146 1602560414 1725834292 3205120828 5608961449 11217922898 22435845796