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2220242040 = 2332523092671
BaseRepresentation
bin1000010001010110…
…0011010001111000
312201201202222111200
42010111203101320
514021340221130
61004151254200
7106006513602
oct20425432170
95651688450
102220242040
11a3a2a5785
1251b67a360
13294c9acb3
14170c2a172
15cedb9760
hex84563478

2220242040 has 96 divisors (see below), whose sum is σ = 7221614400. Its totient is φ = 591586560.

The previous prime is 2220242029. The next prime is 2220242051. The reversal of 2220242040 is 402420222.

2220242040 is a `hidden beast` number, since 2 + 2 + 202 + 420 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2220242029) and next prime (2220242051).

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 23 ways as a sum of consecutive naturals, for example, 829905 + ... + 832575.

It is an arithmetic number, because the mean of its divisors is an integer number (75225150).

Almost surely, 22220242040 is an apocalyptic number.

2220242040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220242040 is an abundant number, since it is smaller than the sum of its proper divisors (5001372360).

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

2220242040 is a wasteful number, since it uses less digits than its factorization.

2220242040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4997 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2220242040 is about 47119.4443940079. Note that the first 3 decimals coincide. The cubic root of 2220242040 is about 1304.5681576373.

Adding to 2220242040 its reverse (402420222), we get a palindrome (2622662262).

The spelling of 2220242040 in words is "two billion, two hundred twenty million, two hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2309 2671 4618 5342 6927 8013 9236 10684 11545 13355 13854 16026 18472 20781 21368 23090 24039 26710 27708 32052 34635 40065 41562 46180 48078 53420 55416 64104 69270 80130 83124 92360 96156 103905 106840 120195 138540 160260 166248 192312 207810 240390 277080 320520 415620 480780 831240 961560 6167339 12334678 18502017 24669356 30836695 37004034 49338712 55506051 61673390 74008068 92510085 111012102 123346780 148016136 185020170 222024204 246693560 277530255 370040340 444048408 555060510 740080680 1110121020 2220242040