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2234000000 = 27561117
BaseRepresentation
bin1000010100101000…
…0010001010000000
312202200122221212202
42011022002022000
514033401000000
61005402212332
7106234454351
oct20512021200
95680587782
102234000000
11a470422a1
125241b40a8
13297aa71bb
141729abd28
15d11d5dd5
hex85282280

2234000000 has 112 divisors (see below), whose sum is σ = 5568092790. Its totient is φ = 892800000.

The previous prime is 2233999997. The next prime is 2234000009. The reversal of 2234000000 is 4322.

It can be written as a sum of positive squares in 7 ways, for example, as 1783541824 + 450458176 = 42232^2 + 21224^2 .

It is not an unprimeable number, because it can be changed into a prime (2234000009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1999442 + ... + 2000558.

Almost surely, 22234000000 is an apocalyptic number.

2234000000 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 2234000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784046395).

2234000000 is an abundant number, since it is smaller than the sum of its proper divisors (3334092790).

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

2234000000 is an frugal number, since it uses more digits than its factorization.

2234000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 2234000000 is about 47265.2091923859. The cubic root of 2234000000 is about 1307.2572414829.

Adding to 2234000000 its reverse (4322), we get a palindrome (2234004322).

The spelling of 2234000000 in words is "two billion, two hundred thirty-four 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 1117 1250 1600 2000 2234 2500 3125 3200 4000 4468 5000 5585 6250 8000 8936 10000 11170 12500 15625 16000 17872 20000 22340 25000 27925 31250 35744 40000 44680 50000 55850 62500 71488 80000 89360 100000 111700 125000 139625 142976 178720 200000 223400 250000 279250 357440 400000 446800 500000 558500 698125 714880 893600 1000000 1117000 1396250 1787200 2000000 2234000 2792500 3490625 3574400 4468000 5585000 6981250 8936000 11170000 13962500 17453125 17872000 22340000 27925000 34906250 44680000 55850000 69812500 89360000 111700000 139625000 223400000 279250000 446800000 558500000 1117000000 2234000000