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2122404144 = 24376316679
BaseRepresentation
bin111111010000001…
…0101000100110000
312110220200022010220
41332200111010300
513321313413034
6550334253040
7103411065120
oct17640250460
95426608126
102122404144
1199a050713
124b2957180
1327a933653
14161c3cc80
15c64e0749
hex7e815130

2122404144 has 40 divisors (see below), whose sum is σ = 6266146560. Its totient is φ = 606401088.

The previous prime is 2122404131. The next prime is 2122404149. The reversal of 2122404144 is 4414042212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2122404149) 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 7 ways as a sum of consecutive naturals, for example, 3158004 + ... + 3158675.

It is an arithmetic number, because the mean of its divisors is an integer number (156653664).

Almost surely, 22122404144 is an apocalyptic number.

2122404144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2122404144 is an abundant number, since it is smaller than the sum of its proper divisors (4143742416).

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

2122404144 is a wasteful number, since it uses less digits than its factorization.

2122404144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6316697 (or 6316691 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2122404144 is about 46069.5576709827. The cubic root of 2122404144 is about 1285.1170779587.

Adding to 2122404144 its reverse (4414042212), we get a palindrome (6536446356).

The spelling of 2122404144 in words is "two billion, one hundred twenty-two million, four hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 6316679 12633358 18950037 25266716 37900074 44216753 50533432 75800148 88433506 101066864 132650259 151600296 176867012 265300518 303200592 353734024 530601036 707468048 1061202072 2122404144