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2145312200 = 235235929879
BaseRepresentation
bin111111111011110…
…1101110111001000
312112111210011002102
41333313231313020
513343144442300
6552513252532
7104106565343
oct17767556710
95474704072
102145312200
11a00a77899
124ba564148
132825c4605
14164cc345a
15c85180d5
hex7fdeddc8

2145312200 has 48 divisors (see below), whose sum is σ = 5001912000. Its totient is φ = 855705920.

The previous prime is 2145312193. The next prime is 2145312223. The reversal of 2145312200 is 22135412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56861 + ... + 86739.

It is an arithmetic number, because the mean of its divisors is an integer number (104206500).

Almost surely, 22145312200 is an apocalyptic number.

2145312200 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 2145312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500956000).

2145312200 is an abundant number, since it is smaller than the sum of its proper divisors (2856599800).

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

2145312200 is a wasteful number, since it uses less digits than its factorization.

2145312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30254 (or 30245 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2145312200 is about 46317.5150456067. The cubic root of 2145312200 is about 1289.7241563115.

Adding to 2145312200 its reverse (22135412), we get a palindrome (2167447612).

The spelling of 2145312200 in words is "two billion, one hundred forty-five million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 359 718 1436 1795 2872 3590 7180 8975 14360 17950 29879 35900 59758 71800 119516 149395 239032 298790 597580 746975 1195160 1493950 2987900 5975800 10726561 21453122 42906244 53632805 85812488 107265610 214531220 268164025 429062440 536328050 1072656100 2145312200