Search a number
-
+
122336808 = 233112103409
BaseRepresentation
bin1110100101010…
…11011000101000
322112012100112220
413102223120220
5222304234213
620050034040
73013563036
oct722533050
9275170486
10122336808
1163068500
1234b78920
131c464759
1412367556
15ab17e23
hex74ab628

122336808 has 96 divisors (see below), whose sum is σ = 340267200. Its totient is φ = 36622080.

The previous prime is 122336807. The next prime is 122336813. The reversal of 122336808 is 808633221.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (122336807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298908 + ... + 299316.

It is an arithmetic number, because the mean of its divisors is an integer number (3544450).

Almost surely, 2122336808 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 122336808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170133600).

122336808 is an abundant number, since it is smaller than the sum of its proper divisors (217930392).

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

122336808 is a wasteful number, since it uses less digits than its factorization.

122336808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 122336808 is about 11060.5970905734. The cubic root of 122336808 is about 496.4235564309.

The spelling of 122336808 in words is "one hundred twenty-two million, three hundred thirty-six thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 103 121 132 206 242 264 309 363 409 412 484 618 726 818 824 968 1133 1227 1236 1452 1636 2266 2454 2472 2904 3272 3399 4499 4532 4908 6798 8998 9064 9816 12463 13497 13596 17996 24926 26994 27192 35992 37389 42127 49489 49852 53988 74778 84254 98978 99704 107976 126381 148467 149556 168508 197956 252762 296934 299112 337016 395912 463397 505524 593868 926794 1011048 1187736 1390191 1853588 2780382 3707176 5097367 5560764 10194734 11121528 15292101 20389468 30584202 40778936 61168404 122336808