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2024006220 = 2232511244479
BaseRepresentation
bin111100010100011…
…1110001001001100
312020001112011120100
41320220332021030
513121121144340
6532501251100
7101104524525
oct17050761114
95201464510
102024006220
11949553915
12485a03a90
13263431122
14152b4784c
15bca55830
hex78a3e24c

2024006220 has 36 divisors (see below), whose sum is σ = 6139486080. Its totient is φ = 539734944.

The previous prime is 2024006219. The next prime is 2024006221. The reversal of 2024006220 is 226004202.

It is a happy number.

2024006220 is a `hidden beast` number, since 2 + 0 + 2 + 40 + 0 + 622 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2024006219) and next prime (2024006221).

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 2024006193 and 2024006202.

It is not an unprimeable number, because it can be changed into a prime (2024006221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5622060 + ... + 5622419.

It is an arithmetic number, because the mean of its divisors is an integer number (170541280).

Almost surely, 22024006220 is an apocalyptic number.

2024006220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024006220 is an abundant number, since it is smaller than the sum of its proper divisors (4115479860).

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

2024006220 is a wasteful number, since it uses less digits than its factorization.

2024006220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11244494 (or 11244489 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2024006220 is about 44988.9566449368. The cubic root of 2024006220 is about 1264.9420044547.

The spelling of 2024006220 in words is "two billion, twenty-four million, six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11244479 22488958 33733437 44977916 56222395 67466874 101200311 112444790 134933748 168667185 202400622 224889580 337334370 404801244 506001555 674668740 1012003110 2024006220