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122930208 = 2532426841
BaseRepresentation
bin1110101001111…
…00010000100000
322120022111112200
413110330100200
5222432231313
620110453200
73021614052
oct724742040
9276274480
10122930208
1163433315
1235204200
131c61188b
141247d8d2
15abd3b73
hex753c420

122930208 has 36 divisors (see below), whose sum is σ = 349583598. Its totient is φ = 40976640.

The previous prime is 122930173. The next prime is 122930273. The reversal of 122930208 is 802039221.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 80784144 + 42146064 = 8988^2 + 6492^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1229302082 = 30223672077846528, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 213133 + ... + 213708.

Almost surely, 2122930208 is an apocalyptic number.

122930208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122930208 is an abundant number, since it is smaller than the sum of its proper divisors (226653390).

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

122930208 is a wasteful number, since it uses less digits than its factorization.

122930208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426857 (or 426846 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 122930208 is about 11087.3895935878. The cubic root of 122930208 is about 497.2249035075.

Adding to 122930208 its reverse (802039221), we get a palindrome (924969429).

The spelling of 122930208 in words is "one hundred twenty-two million, nine hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 426841 853682 1280523 1707364 2561046 3414728 3841569 5122092 6829456 7683138 10244184 13658912 15366276 20488368 30732552 40976736 61465104 122930208