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4442230440 = 2332529425501
BaseRepresentation
bin1000010001100011…
…10000111010101000
3102110120211200120100
410020301300322220
533044202333230
62012444225400
7215040223104
oct41061607250
912416750510
104442230440
11197a58352a
12a3b83b260
1355a42ab2b
14301d8c904
151aeecb660
hex108c70ea8

4442230440 has 96 divisors (see below), whose sum is σ = 14935120200. Its totient is φ = 1143744000.

The previous prime is 4442230433. The next prime is 4442230447. The reversal of 4442230440 is 440322444.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4442230433) and next prime (4442230447).

It can be written as a sum of positive squares in 4 ways, for example, as 3099594276 + 1342636164 = 55674^2 + 36642^2 .

It is a super-2 number, since 2×44422304402 = 39466822564125187200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4442230447) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 202311 + ... + 223190.

Almost surely, 24442230440 is an apocalyptic number.

4442230440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4442230440 is an abundant number, since it is smaller than the sum of its proper divisors (10492889760).

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

4442230440 is a wasteful number, since it uses less digits than its factorization.

4442230440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425547 (or 425540 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 4442230440 is about 66650.0595648646. The cubic root of 4442230440 is about 1643.8683273163.

Adding to 4442230440 its reverse (440322444), we get a palindrome (4882552884).

The spelling of 4442230440 in words is "four billion, four hundred forty-two million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 5220 10440 425501 851002 1276503 1702004 2127505 2553006 3404008 3829509 4255010 5106012 6382515 7659018 8510020 10212024 12339529 12765030 15318036 17020040 19147545 24679058 25530060 30636072 37018587 38295090 49358116 51060120 61697645 74037174 76590180 98716232 111055761 123395290 148074348 153180360 185092935 222111522 246790580 296148696 370185870 444223044 493581160 555278805 740371740 888446088 1110557610 1480743480 2221115220 4442230440