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2240114112 = 26325373379
BaseRepresentation
bin1000010110000101…
…0110110111000000
312210010011120212100
42011201112313000
514041432122422
61010141230400
7106340440635
oct20541266700
95703146770
102240114112
11a4a538985
12526262400
13299138112
1417372018c
15d19e27ac
hex85856dc0

2240114112 has 84 divisors (see below), whose sum is σ = 6542120520. Its totient is φ = 732605952.

The previous prime is 2240114083. The next prime is 2240114153. The reversal of 2240114112 is 2114110422.

2240114112 is a `hidden beast` number, since 2 + 240 + 11 + 411 + 2 = 666.

It is a super-2 number, since 2×22401141122 = 10036222469563097088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 6162 + ... + 67217.

Almost surely, 22240114112 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 2240114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271060260).

2240114112 is an abundant number, since it is smaller than the sum of its proper divisors (4302006408).

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

2240114112 is a wasteful number, since it uses less digits than its factorization.

2240114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73450 (or 73437 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2240114112 is about 47329.8437774730. The cubic root of 2240114112 is about 1308.4487420267.

Adding to 2240114112 its reverse (2114110422), we get a palindrome (4354224534).

The spelling of 2240114112 in words is "two billion, two hundred forty million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 144 159 192 212 288 318 424 477 576 636 848 954 1272 1696 1908 2544 3392 3816 5088 7632 10176 15264 30528 73379 146758 220137 293516 440274 587032 660411 880548 1174064 1320822 1761096 2348128 2641644 3522192 3889087 4696256 5283288 7044384 7778174 10566576 11667261 14088768 15556348 21133152 23334522 31112696 35001783 42266304 46669044 62225392 70003566 93338088 124450784 140007132 186676176 248901568 280014264 373352352 560028528 746704704 1120057056 2240114112