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2145150200 = 235223795903
BaseRepresentation
bin111111111011100…
…0110010011111000
312112111110220212102
41333313012103320
513343124301300
6552510002532
7104105322134
oct17767062370
95474426772
102145150200
11a00977106
124ba4a6448
1328256895b
14164c803c4
15c84d50d5
hex7fdc64f8

2145150200 has 96 divisors (see below), whose sum is σ = 5271091200. Its totient is φ = 810226560.

The previous prime is 2145150199. The next prime is 2145150209. The reversal of 2145150200 is 20515412.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145150209) 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, 360449 + ... + 366351.

It is an arithmetic number, because the mean of its divisors is an integer number (54907200).

Almost surely, 22145150200 is an apocalyptic number.

2145150200 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 2145150200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635545600).

2145150200 is an abundant number, since it is smaller than the sum of its proper divisors (3125941000).

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

2145150200 is a wasteful number, since it uses less digits than its factorization.

2145150200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6021 (or 6012 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 2145150200 is about 46315.7662141090. The cubic root of 2145150200 is about 1289.6916916392.

Adding to 2145150200 its reverse (20515412), we get a palindrome (2165665612).

The spelling of 2145150200 in words is "two billion, one hundred forty-five million, one hundred fifty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 79 92 100 115 158 184 200 230 316 395 460 575 632 790 920 1150 1580 1817 1975 2300 3160 3634 3950 4600 5903 7268 7900 9085 11806 14536 15800 18170 23612 29515 36340 45425 47224 59030 72680 90850 118060 135769 147575 181700 236120 271538 295150 363400 466337 543076 590300 678845 932674 1086152 1180600 1357690 1865348 2331685 2715380 3394225 3730696 4663370 5430760 6788450 9326740 10725751 11658425 13576900 18653480 21451502 23316850 27153800 42903004 46633700 53628755 85806008 93267400 107257510 214515020 268143775 429030040 536287550 1072575100 2145150200