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2122210000 = 2454239227
BaseRepresentation
bin111111001111110…
…0101101011010000
312110220022102211101
41332133211223100
513321241210000
6550330154144
7103406326111
oct17637455320
95426272741
102122210000
11999a28869
124b2882954
1327a896181
14161bcc208
15c64a2e6a
hex7e7e5ad0

2122210000 has 100 divisors (see below), whose sum is σ = 5362058592. Its totient is φ = 811888000.

The previous prime is 2122209989. The next prime is 2122210007. The reversal of 2122210000 is 122212.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122210007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 225387 + ... + 234613.

Almost surely, 22122210000 is an apocalyptic number.

2122210000 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 2122210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681029296).

2122210000 is an abundant number, since it is smaller than the sum of its proper divisors (3239848592).

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

2122210000 is an equidigital number, since it uses as much as digits as its factorization.

2122210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9278 (or 9257 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2122210000 is about 46067.4505480822. The cubic root of 2122210000 is about 1285.0778919914.

Adding to 2122210000 its reverse (122212), we get a palindrome (2122332212).

The spelling of 2122210000 in words is "two billion, one hundred twenty-two million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 625 920 1000 1150 1250 1840 2000 2300 2500 2875 4600 5000 5750 9200 9227 10000 11500 14375 18454 23000 28750 36908 46000 46135 57500 73816 92270 115000 147632 184540 212221 230000 230675 369080 424442 461350 738160 848884 922700 1061105 1153375 1697768 1845400 2122210 2306750 3395536 3690800 4244420 4613500 5305525 5766875 8488840 9227000 10611050 11533750 16977680 18454000 21222100 23067500 26527625 42444200 46135000 53055250 84888400 92270000 106110500 132638125 212221000 265276250 424442000 530552500 1061105000 2122210000