Search a number
-
+
122224668900 = 22352407415563
BaseRepresentation
bin111000111010100101…
…0000111000011100100
3102200111001021111111220
41301311022013003210
54000304003401100
6132052122500340
711554561354365
oct1616512070344
9380431244456
10122224668900
1147920703864
121b8309646b0
13b6ab0752b9
145cb69a5b6c
1532a5446aa0
hex1c752870e4

122224668900 has 36 divisors (see below), whose sum is σ = 353636709552. Its totient is φ = 32593244960.

The previous prime is 122224668889. The next prime is 122224668941. The reversal of 122224668900 is 9866422221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203707482 + ... + 203708081.

It is an arithmetic number, because the mean of its divisors is an integer number (9823241932).

Almost surely, 2122224668900 is an apocalyptic number.

122224668900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122224668900 is an abundant number, since it is smaller than the sum of its proper divisors (231412040652).

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

122224668900 is a wasteful number, since it uses less digits than its factorization.

122224668900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407415580 (or 407415573 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 122224668900 in words is "one hundred twenty-two billion, two hundred twenty-four million, six hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 407415563 814831126 1222246689 1629662252 2037077815 2444493378 4074155630 4888986756 6111233445 8148311260 10185389075 12222466890 20370778150 24444933780 30556167225 40741556300 61112334450 122224668900