Search a number
-
+
2088122304 = 26331211317
BaseRepresentation
bin111110001110110…
…0011011111000000
312101112011121022010
41330131203133000
513234024403204
6543111412520
7102513514062
oct17435433700
95345147263
102088122304
11981766214
124a3384140
132737bc738
1415b477732
15c34bcd89
hex7c7637c0

2088122304 has 84 divisors (see below), whose sum is σ = 5709297192. Its totient is φ = 673528320.

The previous prime is 2088122297. The next prime is 2088122339. The reversal of 2088122304 is 4032218802.

It is a congruent number.

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, 178854 + ... + 190170.

Almost surely, 22088122304 is an apocalyptic number.

2088122304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2088122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854648596).

2088122304 is an abundant number, since it is smaller than the sum of its proper divisors (3621174888).

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

2088122304 is a wasteful number, since it uses less digits than its factorization.

2088122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11394 (or 11353 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2088122304 is about 45695.9768907505. The cubic root of 2088122304 is about 1278.1602606620.

The spelling of 2088122304 in words is "two billion, eighty-eight million, one hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 961 992 1488 1922 1984 2883 2976 3844 5766 5952 7688 11317 11532 15376 22634 23064 30752 33951 45268 46128 61504 67902 90536 92256 135804 181072 184512 271608 350827 362144 543216 701654 724288 1052481 1086432 1403308 2104962 2172864 2806616 4209924 5613232 8419848 10875637 11226464 16839696 21751274 22452928 32626911 33679392 43502548 65253822 67358784 87005096 130507644 174010192 261015288 348020384 522030576 696040768 1044061152 2088122304