Search a number
-
+
212222202100 = 225271163183377
BaseRepresentation
bin1100010110100101101…
…1011101000011110100
3202021210010111212211021
43011221123131003310
511434112340431400
6241254334150524
721222030645166
oct3055133350364
9667703455737
10212222202100
118200399a577
1235168952444
131702151281c
14a3b3420936
1557c148771a
hex31696dd0f4

212222202100 has 72 divisors (see below), whose sum is σ = 469876051008. Its totient is φ = 83179353600.

The previous prime is 212222202089. The next prime is 212222202139. The reversal of 212222202100 is 1202222212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1065612 + ... + 1248988.

It is an arithmetic number, because the mean of its divisors is an integer number (6526056264).

Almost surely, 2212222202100 is an apocalyptic number.

212222202100 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 212222202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234938025504).

212222202100 is an abundant number, since it is smaller than the sum of its proper divisors (257653848908).

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

212222202100 is a wasteful number, since it uses less digits than its factorization.

212222202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183625 (or 183618 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 212222202100 its reverse (1202222212), we get a palindrome (213424424312).

The spelling of 212222202100 in words is "two hundred twelve billion, two hundred twenty-two million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 163 284 326 355 652 710 815 1420 1630 1775 3260 3550 4075 7100 8150 11573 16300 23146 46292 57865 115730 183377 231460 289325 366754 578650 733508 916885 1157300 1833770 3667540 4584425 9168850 13019767 18337700 26039534 29890451 52079068 59780902 65098835 119561804 130197670 149452255 260395340 298904510 325494175 597809020 650988350 747261275 1301976700 1494522550 2122222021 2989045100 4244444042 8488888084 10611110105 21222220210 42444440420 53055550525 106111101050 212222202100