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122241384 = 23321697797
BaseRepresentation
bin1110100100101…
…00000101101000
322112000111122200
413102110011220
5222243211014
620044020200
73013014606
oct722240550
9275014580
10122241384
1163002841
1234b31660
131c4301a5
1412340876
15aae9a09
hex7494168

122241384 has 24 divisors (see below), whose sum is σ = 331070610. Its totient is φ = 40747104.

The previous prime is 122241341. The next prime is 122241397. The reversal of 122241384 is 483142221.

It can be written as a sum of positive squares in only one way, i.e., 121484484 + 756900 = 11022^2 + 870^2 .

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

It is a super-3 number, since 3×1222413843 (a number of 25 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 848827 + ... + 848970.

Almost surely, 2122241384 is an apocalyptic number.

It is an amenable number.

122241384 is an abundant number, since it is smaller than the sum of its proper divisors (208829226).

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

122241384 is a wasteful number, since it uses less digits than its factorization.

122241384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697809 (or 1697802 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 122241384 is about 11056.2825578944. The cubic root of 122241384 is about 496.2944509880.

The spelling of 122241384 in words is "one hundred twenty-two million, two hundred forty-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1697797 3395594 5093391 6791188 10186782 13582376 15280173 20373564 30560346 40747128 61120692 122241384