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2132213300 = 2252710329573
BaseRepresentation
bin111111100010110…
…1111111000110100
312111121010122202222
41333011233320310
513331321311200
6551324421512
7103560341210
oct17705577064
95447118688
102132213300
119a4640458
124b60a7898
1327c989399
14163273940
15c72cbd85
hex7f16fe34

2132213300 has 72 divisors (see below), whose sum is σ = 5339408256. Its totient is φ = 723922560.

The previous prime is 2132213299. The next prime is 2132213309. The reversal of 2132213300 is 33122312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132213309) 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, 57314 + ... + 86886.

It is an arithmetic number, because the mean of its divisors is an integer number (74158448).

Almost surely, 22132213300 is an apocalyptic number.

2132213300 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 2132213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669704128).

2132213300 is an abundant number, since it is smaller than the sum of its proper divisors (3207194956).

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

2132213300 is a wasteful number, since it uses less digits than its factorization.

2132213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29697 (or 29690 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2132213300 is about 46175.8952268389. The cubic root of 2132213300 is about 1287.0938524750.

Adding to 2132213300 its reverse (33122312), we get a palindrome (2165335612).

The spelling of 2132213300 in words is "two billion, one hundred thirty-two million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 103 140 175 206 350 412 515 700 721 1030 1442 2060 2575 2884 3605 5150 7210 10300 14420 18025 29573 36050 59146 72100 118292 147865 207011 295730 414022 591460 739325 828044 1035055 1478650 2070110 2957300 3046019 4140220 5175275 6092038 10350550 12184076 15230095 20701100 21322133 30460190 42644266 60920380 76150475 85288532 106610665 152300950 213221330 304601900 426442660 533053325 1066106650 2132213300