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122214672 = 2432848713
BaseRepresentation
bin1110100100011…
…01100100010000
322111222011000100
413102031210100
5222241332142
620043252400
73012543666
oct722154420
9274864010
10122214672
1162a94768
1234b1a100
131c420c98
1412334c36
15aae1b4c
hex748d910

122214672 has 30 divisors (see below), whose sum is σ = 342031742. Its totient is φ = 40738176.

The previous prime is 122214667. The next prime is 122214689. The reversal of 122214672 is 276412221.

It can be written as a sum of positive squares in only one way, i.e., 104775696 + 17438976 = 10236^2 + 4176^2 .

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, 424213 + ... + 424500.

Almost surely, 2122214672 is an apocalyptic number.

122214672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122214672 is an abundant number, since it is smaller than the sum of its proper divisors (219817070).

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

122214672 is a wasteful number, since it uses less digits than its factorization.

122214672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848727 (or 848718 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 122214672 is about 11055.0744909295. The cubic root of 122214672 is about 496.2582985201.

Adding to 122214672 its reverse (276412221), we get a palindrome (398626893).

The spelling of 122214672 in words is "one hundred twenty-two million, two hundred fourteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 848713 1697426 2546139 3394852 5092278 6789704 7638417 10184556 13579408 15276834 20369112 30553668 40738224 61107336 122214672