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2146212300 = 2235297131563
BaseRepresentation
bin111111111101100…
…1001100111001100
312112120110212210110
41333323021213030
513343412243200
6552544440020
7104120334501
oct17773114714
95476425713
102146212300
11a01532081
124ba919010
1328284b20b
141650794a8
15c8644b50
hex7fec99cc

2146212300 has 144 divisors (see below), whose sum is σ = 6332844672. Its totient is φ = 561100800.

The previous prime is 2146212283. The next prime is 2146212319. The reversal of 2146212300 is 32126412.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3811819 + ... + 3812381.

It is an arithmetic number, because the mean of its divisors is an integer number (43978088).

Almost surely, 22146212300 is an apocalyptic number.

2146212300 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 2146212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166422336).

2146212300 is an abundant number, since it is smaller than the sum of its proper divisors (4186632372).

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

2146212300 is a wasteful number, since it uses less digits than its factorization.

2146212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2146212300 is about 46327.2306532562. The cubic root of 2146212300 is about 1289.9045058810.

Adding to 2146212300 its reverse (32126412), we get a palindrome (2178338712).

The spelling of 2146212300 in words is "two billion, one hundred forty-six million, two hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 131 150 194 262 291 300 388 393 485 524 563 582 655 786 970 1126 1164 1310 1455 1572 1689 1940 1965 2252 2425 2620 2815 2910 3275 3378 3930 4850 5630 5820 6550 6756 7275 7860 8445 9700 9825 11260 12707 13100 14075 14550 16890 19650 25414 28150 29100 33780 38121 39300 42225 50828 54611 56300 63535 73753 76242 84450 109222 127070 147506 152484 163833 168900 190605 218444 221259 254140 273055 295012 317675 327666 368765 381210 442518 546110 635350 655332 737530 762420 819165 885036 953025 1092220 1106295 1270700 1365275 1475060 1638330 1843825 1906050 2212590 2730550 3276660 3687650 3812100 4095825 4425180 5461100 5531475 7154041 7375300 8191650 11062950 14308082 16383300 21462123 22125900 28616164 35770205 42924246 71540410 85848492 107310615 143080820 178851025 214621230 357702050 429242460 536553075 715404100 1073106150 2146212300