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2242420040 = 23578008643
BaseRepresentation
bin1000010110101000…
…1001110101001000
312210021111202000002
42011222021311020
514043024420130
61010302502132
7106366153520
oct20552116510
95707452002
102242420040
11a50873403
12526b94948
13299764883
14173b60680
15d1ceab45
hex85a89d48

2242420040 has 32 divisors (see below), whose sum is σ = 5766223680. Its totient is φ = 768829632.

The previous prime is 2242420031. The next prime is 2242420057. The reversal of 2242420040 is 400242422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2242419994 and 2242420021.

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 7 ways as a sum of consecutive naturals, for example, 4004042 + ... + 4004601.

It is an arithmetic number, because the mean of its divisors is an integer number (180194490).

Almost surely, 22242420040 is an apocalyptic number.

2242420040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242420040 is an abundant number, since it is smaller than the sum of its proper divisors (3523803640).

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

2242420040 is a wasteful number, since it uses less digits than its factorization.

2242420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8008661 (or 8008657 counting only the distinct ones).

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

The square root of 2242420040 is about 47354.1977019989. The cubic root of 2242420040 is about 1308.8975515893.

Adding to 2242420040 its reverse (400242422), we get a palindrome (2642662462).

The spelling of 2242420040 in words is "two billion, two hundred forty-two million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 8008643 16017286 32034572 40043215 56060501 64069144 80086430 112121002 160172860 224242004 280302505 320345720 448484008 560605010 1121210020 2242420040