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122000328 = 23321694449
BaseRepresentation
bin1110100010110…
…01001111001000
322111120020222200
413101121033020
5222213002303
620034520200
73010662042
oct721311710
9274506880
10122000328
116295871a
1234a36060
131c377558
14122baa92
15aa9d3a3
hex74593c8

122000328 has 24 divisors (see below), whose sum is σ = 330417750. Its totient is φ = 40666752.

The previous prime is 122000317. The next prime is 122000341. The reversal of 122000328 is 823000221.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 73307844 + 48692484 = 8562^2 + 6978^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 122000328.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 847153 + ... + 847296.

Almost surely, 2122000328 is an apocalyptic number.

122000328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122000328 is an abundant number, since it is smaller than the sum of its proper divisors (208417422).

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

122000328 is a wasteful number, since it uses less digits than its factorization.

122000328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694461 (or 1694454 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 122000328 is about 11045.3758650396. The cubic root of 122000328 is about 495.9680108575.

Adding to 122000328 its reverse (823000221), we get a palindrome (945000549).

The spelling of 122000328 in words is "one hundred twenty-two million, three hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1694449 3388898 5083347 6777796 10166694 13555592 15250041 20333388 30500082 40666776 61000164 122000328