Search a number
-
+
2096485200 = 243352194119
BaseRepresentation
bin111110011110101…
…1101001101010000
312102002220111001000
41330331131031100
513243200011300
6544010542000
7102644554515
oct17475351520
95362814030
102096485200
119864583a7
124a6137900
1327545a0b4
1415c61330c
15c40c0c00
hex7cf5d350

2096485200 has 120 divisors (see below), whose sum is σ = 7461972800. Its totient is φ = 559059840.

The previous prime is 2096485189. The next prime is 2096485201. The reversal of 2096485200 is 25846902.

It is a happy number.

2096485200 is a `hidden beast` number, since 2 + 0 + 9 + 648 + 5 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2096485201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86260 + ... + 107859.

Almost surely, 22096485200 is an apocalyptic number.

2096485200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2096485200 is an abundant number, since it is smaller than the sum of its proper divisors (5365487600).

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

2096485200 is a wasteful number, since it uses less digits than its factorization.

2096485200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194146 (or 194129 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2096485200 is about 45787.3912775122. The cubic root of 2096485200 is about 1279.8643248122.

The spelling of 2096485200 in words is "two billion, ninety-six million, four hundred eighty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 540 600 675 720 900 1080 1200 1350 1800 2160 2700 3600 5400 10800 194119 388238 582357 776476 970595 1164714 1552952 1747071 1941190 2329428 2911785 3105904 3494142 3882380 4658856 4852975 5241213 5823570 6988284 7764760 8735355 9317712 9705950 10482426 11647140 13976568 14558925 15529520 17470710 19411900 20964852 23294280 26206065 27953136 29117850 34941420 38823800 41929704 43676775 46588560 52412130 58235700 69882840 77647600 83859408 87353550 104824260 116471400 131030325 139765680 174707100 209648520 232942800 262060650 349414200 419297040 524121300 698828400 1048242600 2096485200