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2240331104 = 251143114767
BaseRepresentation
bin1000010110001000…
…1011110101100000
312210010120121112002
42011202023311200
514042011043404
61010150023132
7106342333364
oct20542136540
95703517462
102240331104
11a4a676a10
12526347aa8
132991b2b0b
141737792a4
15d1a36c1e
hex8588bd60

2240331104 has 48 divisors (see below), whose sum is σ = 4823110656. Its totient is φ = 1015900800.

The previous prime is 2240331013. The next prime is 2240331127. The reversal of 2240331104 is 4011330422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144329 + ... + 159095.

It is an arithmetic number, because the mean of its divisors is an integer number (100481472).

Almost surely, 22240331104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240331104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411555328).

2240331104 is an abundant number, since it is smaller than the sum of its proper divisors (2582779552).

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

2240331104 is a wasteful number, since it uses less digits than its factorization.

2240331104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15219 (or 15211 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2240331104 is about 47332.1360599752. The cubic root of 2240331104 is about 1308.4909889433.

Adding to 2240331104 its reverse (4011330422), we get a palindrome (6251661526).

The spelling of 2240331104 in words is "two billion, two hundred forty million, three hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 431 862 1724 3448 4741 6896 9482 13792 14767 18964 29534 37928 59068 75856 118136 151712 162437 236272 324874 472544 649748 1299496 2598992 5197984 6364577 12729154 25458308 50916616 70010347 101833232 140020694 203666464 280041388 560082776 1120165552 2240331104