Search a number
-
+
122233104 = 2433783487
BaseRepresentation
bin1110100100100…
…10000100010000
322112000002022000
413102102010100
5222242424404
620043514000
73012651510
oct722220420
9275002260
10122233104
1162aa75a4
1234b28900
131c4294a6
141233b840
15aae7339
hex7492110

122233104 has 160 divisors (see below), whose sum is σ = 406640640. Its totient is φ = 34432128.

The previous prime is 122233091. The next prime is 122233147. The reversal of 122233104 is 401332221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250749 + ... + 251235.

It is an arithmetic number, because the mean of its divisors is an integer number (2541504).

Almost surely, 2122233104 is an apocalyptic number.

122233104 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 122233104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203320320).

122233104 is an abundant number, since it is smaller than the sum of its proper divisors (284407536).

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

122233104 is a wasteful number, since it uses less digits than its factorization.

122233104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 122233104 is about 11055.9081038149. The cubic root of 122233104 is about 496.2832452607.

Adding to 122233104 its reverse (401332221), we get a palindrome (523565325).

The spelling of 122233104 in words is "one hundred twenty-two million, two hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 83 84 108 112 126 144 166 168 189 216 249 252 332 336 378 432 487 498 504 581 664 747 756 974 996 1008 1162 1328 1461 1494 1512 1743 1948 1992 2241 2324 2922 2988 3024 3409 3486 3896 3984 4383 4482 4648 5229 5844 5976 6818 6972 7792 8766 8964 9296 10227 10458 11688 11952 13149 13636 13944 15687 17532 17928 20454 20916 23376 26298 27272 27888 30681 31374 35064 35856 40421 40908 41832 52596 54544 61362 62748 70128 80842 81816 83664 92043 105192 121263 122724 125496 161684 163632 184086 210384 242526 245448 250992 282947 323368 363789 368172 485052 490896 565894 646736 727578 736344 848841 970104 1091367 1131788 1455156 1472688 1697682 1940208 2182734 2263576 2546523 2910312 3395364 4365468 4527152 5093046 5820624 6790728 7639569 8730936 10186092 13581456 15279138 17461872 20372184 30558276 40744368 61116552 122233104