Search a number
-
+
2010114500 = 225319457463
BaseRepresentation
bin111011111001111…
…1110100111000100
312012002101101201012
41313303332213010
513104042131000
6531243421352
7100545456062
oct16763764704
95162341635
102010114500
11941725859
12481224858
132605a9084
14150d6d032
15bb70e735
hex77cfe9c4

2010114500 has 96 divisors (see below), whose sum is σ = 4641262080. Its totient is φ = 758419200.

The previous prime is 2010114479. The next prime is 2010114529. The reversal of 2010114500 is 54110102.

It is a super-2 number, since 2×20101145002 = 8081120606220500000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4341269 + ... + 4341731.

It is an arithmetic number, because the mean of its divisors is an integer number (48346480).

Almost surely, 22010114500 is an apocalyptic number.

2010114500 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 2010114500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320631040).

2010114500 is an abundant number, since it is smaller than the sum of its proper divisors (2631147580).

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

2010114500 is a wasteful number, since it uses less digits than its factorization.

2010114500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 2010114500 is about 44834.3004852312. The cubic root of 2010114500 is about 1262.0413914458.

Adding to 2010114500 its reverse (54110102), we get a palindrome (2064224602).

The spelling of 2010114500 in words is "two billion, ten million, one hundred fourteen thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 125 190 250 380 457 463 475 500 914 926 950 1828 1852 1900 2285 2315 2375 4570 4630 4750 8683 8797 9140 9260 9500 11425 11575 17366 17594 22850 23150 34732 35188 43415 43985 45700 46300 57125 57875 86830 87970 114250 115750 173660 175940 211591 217075 219925 228500 231500 423182 434150 439850 846364 868300 879700 1057955 1085375 1099625 2115910 2170750 2199250 4020229 4231820 4341500 4398500 5289775 8040458 10579550 16080916 20101145 21159100 26448875 40202290 52897750 80404580 100505725 105795500 201011450 402022900 502528625 1005057250 2010114500