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2244232008 = 233418612
BaseRepresentation
bin1000010111000100…
…0100001101001000
312210101220210120000
42011301010031020
514044010411013
61010405403000
7106420441314
oct20561041510
95711823500
102244232008
11a518a07a7
12527709460
13299c4a545
141740b2b44
15d2057973
hex85c44348

2244232008 has 60 divisors (see below), whose sum is σ = 6289307145. Its totient is φ = 747675360.

The previous prime is 2244232007. The next prime is 2244232009. The reversal of 2244232008 is 8002324422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (2244232007) and next prime (2244232009).

It can be written as a sum of positive squares in 2 ways, for example, as 1195638084 + 1048593924 = 34578^2 + 32382^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33498.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2244232007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1204998 + ... + 1206858.

Almost surely, 22244232008 is an apocalyptic number.

It is an amenable number.

2244232008 is an abundant number, since it is smaller than the sum of its proper divisors (4045075137).

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

2244232008 is an frugal number, since it uses more digits than its factorization.

2244232008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3740 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2244232008 is about 47373.3259123739. The cubic root of 2244232008 is about 1309.2500044331.

The spelling of 2244232008 in words is "two billion, two hundred forty-four million, two hundred thirty-two thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1861 3722 5583 7444 11166 14888 16749 22332 33498 44664 50247 66996 100494 133992 150741 200988 301482 401976 602964 1205928 3463321 6926642 10389963 13853284 20779926 27706568 31169889 41559852 62339778 83119704 93509667 124679556 187019334 249359112 280529001 374038668 561058002 748077336 1122116004 2244232008