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2040222420 = 2232514837643
BaseRepresentation
bin111100110011011…
…0101001011010100
312021012001001000100
41321212311023110
513134244104140
6534241014100
7101362414215
oct17146651324
95235031010
102040222420
1195771a335
1248b324330
132668bb202
14154d6940c
15be1aa530
hex799b52d4

2040222420 has 72 divisors (see below), whose sum is σ = 6193658016. Its totient is φ = 543621312.

The previous prime is 2040222347. The next prime is 2040222473. The reversal of 2040222420 is 242220402.

2040222420 is a `hidden beast` number, since 20 + 4 + 0 + 222 + 420 = 666.

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 = 2040222393 and 2040222402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263119 + ... + 270761.

It is an arithmetic number, because the mean of its divisors is an integer number (86023028).

Almost surely, 22040222420 is an apocalyptic number.

2040222420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2040222420 is an abundant number, since it is smaller than the sum of its proper divisors (4153435596).

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

2040222420 is a wasteful number, since it uses less digits than its factorization.

2040222420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9141 (or 9136 counting only the distinct ones).

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

The square root of 2040222420 is about 45168.8213262201. The cubic root of 2040222420 is about 1268.3112321360.

Adding to 2040222420 its reverse (242220402), we get a palindrome (2282442822).

The spelling of 2040222420 in words is "two billion, forty million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1483 2966 4449 5932 7415 7643 8898 13347 14830 15286 17796 22245 22929 26694 29660 30572 38215 44490 45858 53388 66735 68787 76430 88980 91716 114645 133470 137574 152860 229290 266940 275148 343935 458580 687870 1375740 11334569 22669138 34003707 45338276 56672845 68007414 102011121 113345690 136014828 170018535 204022242 226691380 340037070 408044484 510055605 680074140 1020111210 2040222420