Search a number
-
+
122203814688 = 2532205992
BaseRepresentation
bin111000111001111101…
…0100011101100100000
3102200102121000222220200
41301303322203230200
54000233134032223
6132050055505200
711554216200054
oct1616372435440
9380377028820
10122203814688
114790a95a77a
121b825988200
13b6a6953127
145cb3cd7c64
1532a36c7a43
hex1c73ea3b20

122203814688 has 54 divisors (see below), whose sum is σ = 347533969419. Its totient is φ = 40732627392.

The previous prime is 122203814651. The next prime is 122203814693. The reversal of 122203814688 is 886418302221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

122203814688 is a `hidden beast` number, since 1 + 2 + 220 + 381 + 46 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61101907344 + 61101907344 = 247188^2 + 247188^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=247188.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5922213 + ... + 5942811.

Almost surely, 2122203814688 is an apocalyptic number.

122203814688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122203814688 is an abundant number, since it is smaller than the sum of its proper divisors (225330154731).

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

122203814688 is an frugal number, since it uses more digits than its factorization.

122203814688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41214 (or 20604 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 122203814688 in words is "one hundred twenty-two billion, two hundred three million, eight hundred fourteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 20599 41198 61797 82396 123594 164792 185391 247188 329584 370782 494376 659168 741564 988752 1483128 1977504 2966256 5932512 424318801 848637602 1272956403 1697275204 2545912806 3394550408 3818869209 5091825612 6789100816 7637738418 10183651224 13578201632 15275476836 20367302448 30550953672 40734604896 61101907344 122203814688