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4222464144 = 2431632831907
BaseRepresentation
bin1111101110101101…
…1011000010010000
3101220021022101212220
43323223123002100
532121422323034
61534554021040
7206431232043
oct37353330220
911807271786
104222464144
11187751a898
1299a117780
13523a428c2
142c0b02c5a
1519aa6a749
hexfbadb090

4222464144 has 80 divisors (see below), whose sum is σ = 11019508992. Its totient is φ = 1393179264.

The previous prime is 4222464143. The next prime is 4222464157. The reversal of 4222464144 is 4414642224.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4222464143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2213239 + ... + 2215145.

Almost surely, 24222464144 is an apocalyptic number.

It is an amenable number.

4222464144 is an abundant number, since it is smaller than the sum of its proper divisors (6797044848).

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

4222464144 is a wasteful number, since it uses less digits than its factorization.

4222464144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2358 counting only the distinct ones).

The product of its digits is 49152, while the sum is 33.

The square root of 4222464144 is about 64980.4904875302. The cubic root of 4222464144 is about 1616.3000639575.

The spelling of 4222464144 in words is "four billion, two hundred twenty-two million, four hundred sixty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 163 283 326 489 566 652 849 978 1132 1304 1698 1907 1956 2264 2608 3396 3814 3912 4528 5721 6792 7628 7824 11442 13584 15256 22884 30512 45768 46129 91536 92258 138387 184516 276774 310841 369032 539681 553548 621682 738064 932523 1079362 1107096 1243364 1619043 1865046 2158724 2214192 2486728 3238086 3730092 4317448 4973456 6476172 7460184 8634896 12952344 14920368 25904688 87968003 175936006 263904009 351872012 527808018 703744024 1055616036 1407488048 2111232072 4222464144