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2240002424 = 2311671812099
BaseRepresentation
bin1000010110000011…
…1011100101111000
312210002221220122202
42011200323211320
514041420034144
61010135005332
7106336464212
oct20540734570
95702856582
102240002424
11a4a471a80
12526209848
132990c932a
141736d15b2
15d19be64e
hex8583b978

2240002424 has 64 divisors (see below), whose sum is σ = 4678128000. Its totient is φ = 996969600.

The previous prime is 2240002379. The next prime is 2240002439. The reversal of 2240002424 is 4242000422.

It is a super-2 number, since 2×22400024242 = 10035221719051751552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2240002396 and 2240002405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1066127 + ... + 1068225.

It is an arithmetic number, because the mean of its divisors is an integer number (73095750).

Almost surely, 22240002424 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 2240002424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339064000).

2240002424 is an abundant number, since it is smaller than the sum of its proper divisors (2438125576).

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

2240002424 is a wasteful number, since it uses less digits than its factorization.

2240002424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2240002424 is about 47328.6638729639. The cubic root of 2240002424 is about 1308.4269960434.

Adding to 2240002424 its reverse (4242000422), we get a palindrome (6482002846).

The spelling of 2240002424 in words is "two billion, two hundred forty million, two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 67 88 134 181 268 362 536 724 737 1448 1474 1991 2099 2948 3982 4198 5896 7964 8396 12127 15928 16792 23089 24254 46178 48508 92356 97016 133397 140633 184712 266794 281266 379919 533588 562532 759838 1067176 1125064 1519676 1546963 3039352 3093926 4179109 6187852 8358218 12375704 16716436 25454573 33432872 50909146 101818292 203636584 280000303 560000606 1120001212 2240002424