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2122000000 = 27561061
BaseRepresentation
bin111111001111011…
…0010011010000000
312110212220202202121
41332132302122000
513321213000000
6550321454024
7103404462631
oct17636623200
95425822677
102122000000
119998a500a
124b27a1314
1327a821703
14161b75888
15c6460b1a
hex7e7b2680

2122000000 has 112 divisors (see below), whose sum is σ = 5289190110. Its totient is φ = 848000000.

The previous prime is 2121999973. The next prime is 2122000019. The reversal of 2122000000 is 2212.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 960008256 + 1161991744 = 30984^2 + 34088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1999470 + ... + 2000530.

Almost surely, 22122000000 is an apocalyptic number.

2122000000 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 2122000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644595055).

2122000000 is an abundant number, since it is smaller than the sum of its proper divisors (3167190110).

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

2122000000 is an frugal number, since it uses more digits than its factorization.

2122000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2122000000 is about 46065.1712251241. The cubic root of 2122000000 is about 1285.0355029631.

Adding to 2122000000 its reverse (2212), we get a palindrome (2122002212).

The spelling of 2122000000 in words is "two billion, one hundred twenty-two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1061 1250 1600 2000 2122 2500 3125 3200 4000 4244 5000 5305 6250 8000 8488 10000 10610 12500 15625 16000 16976 20000 21220 25000 26525 31250 33952 40000 42440 50000 53050 62500 67904 80000 84880 100000 106100 125000 132625 135808 169760 200000 212200 250000 265250 339520 400000 424400 500000 530500 663125 679040 848800 1000000 1061000 1326250 1697600 2000000 2122000 2652500 3315625 3395200 4244000 5305000 6631250 8488000 10610000 13262500 16578125 16976000 21220000 26525000 33156250 42440000 53050000 66312500 84880000 106100000 132625000 212200000 265250000 424400000 530500000 1061000000 2122000000