Search a number
-
+
2226127392 = 253211236883
BaseRepresentation
bin1000010010110000…
…0000001000100000
312202010211222200200
42010230000020200
514024342034032
61004521345200
7106110525216
oct20454001040
95663758620
102226127392
11a42655505
12521638200
1329627ba58
1417191ccb6
15d067d47c
hex84b00220

2226127392 has 72 divisors (see below), whose sum is σ = 6337107504. Its totient is φ = 741273984.

The previous prime is 2226127367. The next prime is 2226127429. The reversal of 2226127392 is 2937216222.

2226127392 is a `hidden beast` number, since 2 + 2 + 2 + 612 + 7 + 39 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 319983 + ... + 326865.

It is an arithmetic number, because the mean of its divisors is an integer number (88015382).

Almost surely, 22226127392 is an apocalyptic number.

It is an amenable number.

2226127392 is an abundant number, since it is smaller than the sum of its proper divisors (4110980112).

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

2226127392 is a wasteful number, since it uses less digits than its factorization.

2226127392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8022 (or 8011 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 2226127392 is about 47181.8544781784. The cubic root of 2226127392 is about 1305.7198441928.

The spelling of 2226127392 in words is "two billion, two hundred twenty-six million, one hundred twenty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1123 2246 3369 4492 6738 6883 8984 10107 13476 13766 17968 20214 20649 26952 27532 35936 40428 41298 53904 55064 61947 80856 82596 107808 110128 123894 161712 165192 220256 247788 323424 330384 495576 660768 991152 1982304 7729609 15459218 23188827 30918436 46377654 61836872 69566481 92755308 123673744 139132962 185510616 247347488 278265924 371021232 556531848 742042464 1113063696 2226127392