Search a number
-
+
2148478500 = 223537229231
BaseRepresentation
bin1000000000001111…
…0010111000100100
312112201202000102210
42000003302320210
513400002303000
6553105203420
7104145523500
oct20003627044
95481660383
102148478500
11a0283a773
124bb630570
1328316286c
141654a9300
15c8941350
hex800f2e24

2148478500 has 144 divisors (see below), whose sum is σ = 7278066432. Its totient is φ = 491064000.

The previous prime is 2148478483. The next prime is 2148478583. The reversal of 2148478500 is 58748412.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 58885 + ... + 88115.

It is an arithmetic number, because the mean of its divisors is an integer number (50542128).

Almost surely, 22148478500 is an apocalyptic number.

2148478500 is a gapful number since it is divisible by the number (20) 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 2148478500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3639033216).

2148478500 is an abundant number, since it is smaller than the sum of its proper divisors (5129587932).

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

2148478500 is a wasteful number, since it uses less digits than its factorization.

2148478500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29267 (or 29248 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 2148478500 is about 46351.6828173476. The cubic root of 2148478500 is about 1290.3583524592.

The spelling of 2148478500 in words is "two billion, one hundred forty-eight million, four hundred seventy-eight thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 125 140 147 150 175 196 210 245 250 294 300 350 375 420 490 500 525 588 700 735 750 875 980 1050 1225 1470 1500 1750 2100 2450 2625 2940 3500 3675 4900 5250 6125 7350 10500 12250 14700 18375 24500 29231 36750 58462 73500 87693 116924 146155 175386 204617 292310 350772 409234 438465 584620 613851 730775 818468 876930 1023085 1227702 1432319 1461550 1753860 2046170 2192325 2455404 2864638 2923100 3069255 3653875 4092340 4296957 4384650 5115425 5729276 6138510 7161595 7307750 8593914 8769300 10230850 10961625 12277020 14323190 14615500 15346275 17187828 20461700 21484785 21923250 25577125 28646380 30692550 35807975 42969570 43846500 51154250 61385100 71615950 76731375 85939140 102308500 107423925 143231900 153462750 179039875 214847850 306925500 358079750 429695700 537119625 716159500 1074239250 2148478500