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2242034440 = 23567782793
BaseRepresentation
bin1000010110100010…
…1011101100001000
312210020210011001121
42011220223230020
514042430100230
61010250325024
7106362656362
oct20550535410
95706704047
102242034440
11a5062a728
12526a29774
1329965b1c9
14173a9dd32
15d1c7177a
hex85a2bb08

2242034440 has 32 divisors (see below), whose sum is σ = 5052089880. Its totient is φ = 895478272.

The previous prime is 2242034437. The next prime is 2242034453. The reversal of 2242034440 is 444302422.

It can be written as a sum of positive squares in 4 ways, for example, as 2218975236 + 23059204 = 47106^2 + 4802^2 .

It is a super-2 number, since 2×22420344402 = 10053436860292227200, which contains 22 as substring.

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, 14317 + ... + 68476.

Almost surely, 22242034440 is an apocalyptic number.

2242034440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242034440 is an abundant number, since it is smaller than the sum of its proper divisors (2810055440).

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

2242034440 is a wasteful number, since it uses less digits than its factorization.

2242034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83481 (or 83477 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 2242034440 is about 47350.1260821975. The cubic root of 2242034440 is about 1308.8225225553.

Adding to 2242034440 its reverse (444302422), we get a palindrome (2686336862).

The spelling of 2242034440 in words is "two billion, two hundred forty-two million, thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 677 1354 2708 3385 5416 6770 13540 27080 82793 165586 331172 413965 662344 827930 1655860 3311720 56050861 112101722 224203444 280254305 448406888 560508610 1121017220 2242034440