Search a number
-
+
122244304 = 24713113743
BaseRepresentation
bin1110100100101…
…00110011010000
322112000122122211
413102110303100
5222243304204
620044041504
73013026250
oct722246320
9275018584
10122244304
1163004a56
1234b33294
131c431610
1412341960
15aaea804
hex7494cd0

122244304 has 80 divisors (see below), whose sum is σ = 294481152. Its totient is φ = 47867904.

The previous prime is 122244299. The next prime is 122244361. The reversal of 122244304 is 403442221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164157 + ... + 164899.

Almost surely, 2122244304 is an apocalyptic number.

122244304 is a gapful number since it is divisible by the number (14) 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 122244304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147240576).

122244304 is an abundant number, since it is smaller than the sum of its proper divisors (172236848).

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

122244304 is a wasteful number, since it uses less digits than its factorization.

122244304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 122244304 is about 11056.4146087238. The cubic root of 122244304 is about 496.2984026456.

Adding to 122244304 its reverse (403442221), we get a palindrome (525686525).

The spelling of 122244304 in words is "one hundred twenty-two million, two hundred forty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 113 182 208 226 364 452 728 743 791 904 1456 1469 1486 1582 1808 2938 2972 3164 5201 5876 5944 6328 9659 10283 10402 11752 11888 12656 19318 20566 20804 23504 38636 41132 41608 67613 77272 82264 83216 83959 135226 154544 164528 167918 270452 335836 540904 587713 671672 1081808 1091467 1175426 1343344 2182934 2350852 4365868 4701704 7640269 8731736 9403408 15280538 17463472 30561076 61122152 122244304