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215134209700 = 22523770982009
BaseRepresentation
bin1100100001011011111…
…1111000011010100100
3202120022001222012021121
43020112333320122210
512011043324202300
6242455320423324
721354140416234
oct3102677703244
9676261865247
10215134209700
118326871aa23
1235840017b44
13173968c8b47
14a5ac07dcc4
1558e1e4981a
hex3216ff86a4

215134209700 has 72 divisors (see below), whose sum is σ = 480140666600. Its totient is φ = 83608796160.

The previous prime is 215134209691. The next prime is 215134209709. The reversal of 215134209700 is 7902431512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (215134209691) and next prime (215134209709).

It can be written as a sum of positive squares in 12 ways, for example, as 10062898596 + 205071311104 = 100314^2 + 452848^2 .

It is not an unprimeable number, because it can be changed into a prime (215134209709) 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, 2582296 + ... + 2664304.

Almost surely, 2215134209700 is an apocalyptic number.

215134209700 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 215134209700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240070333300).

215134209700 is an abundant number, since it is smaller than the sum of its proper divisors (265006456900).

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

215134209700 is a wasteful number, since it uses less digits than its factorization.

215134209700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82769 (or 82762 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 215134209700 in words is "two hundred fifteen billion, one hundred thirty-four million, two hundred nine thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 709 740 925 1418 1850 2836 3545 3700 7090 14180 17725 26233 35450 52466 70900 82009 104932 131165 164018 262330 328036 410045 524660 655825 820090 1311650 1640180 2050225 2623300 3034333 4100450 6068666 8200900 12137332 15171665 30343330 58144381 60686660 75858325 116288762 151716650 232577524 290721905 303433300 581443810 1162887620 1453609525 2151342097 2907219050 4302684194 5814438100 8605368388 10756710485 21513420970 43026841940 53783552425 107567104850 215134209700