Search a number
-
+
2247440000 = 2754132161
BaseRepresentation
bin1000010111110101…
…0011011010000000
312210121221210002112
42011331103122000
514100321040000
61011002234452
7106456632131
oct20575233200
95717853075
102247440000
11a53691a33
125287b5a28
1329a801770
141746a9c88
15d248d235
hex85f53680

2247440000 has 160 divisors (see below), whose sum is σ = 6028023540. Its totient is φ = 829440000.

The previous prime is 2247439991. The next prime is 2247440011. The reversal of 2247440000 is 447422.

It can be written as a sum of positive squares in 10 ways, for example, as 365268544 + 1882171456 = 19112^2 + 43384^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1038920 + ... + 1041080.

Almost surely, 22247440000 is an apocalyptic number.

2247440000 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 2247440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014011770).

2247440000 is an abundant number, since it is smaller than the sum of its proper divisors (3780583540).

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

2247440000 is an equidigital number, since it uses as much as digits as its factorization.

2247440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 23.

The square root of 2247440000 is about 47407.1724531215. The cubic root of 2247440000 is about 1309.8735382847.

Adding to 2247440000 its reverse (447422), we get a palindrome (2247887422).

The spelling of 2247440000 in words is "two billion, two hundred forty-seven million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 260 320 325 400 416 500 520 625 640 650 800 832 1000 1040 1250 1300 1600 1625 1664 2000 2080 2161 2500 2600 3200 3250 4000 4160 4322 5000 5200 6500 8000 8125 8320 8644 10000 10400 10805 13000 16000 16250 17288 20000 20800 21610 26000 28093 32500 34576 40000 41600 43220 52000 54025 56186 65000 69152 80000 86440 104000 108050 112372 130000 138304 140465 172880 208000 216100 224744 260000 270125 276608 280930 345760 432200 449488 520000 540250 561860 691520 702325 864400 898976 1040000 1080500 1123720 1350625 1383040 1404650 1728800 1797952 2161000 2247440 2701250 2809300 3457600 3511625 3595904 4322000 4494880 5402500 5618600 6915200 7023250 8644000 8989760 10805000 11237200 14046500 17288000 17558125 17979520 21610000 22474400 28093000 34576000 35116250 43220000 44948800 56186000 70232500 86440000 89897600 112372000 140465000 172880000 224744000 280930000 449488000 561860000 1123720000 2247440000