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2144601032 = 237223392
BaseRepresentation
bin111111111010100…
…0000001111001000
312112110110000112212
41333311000033020
513343004213112
6552450124252
7104100544100
oct17765001710
95473400485
102144601032
11a00631552
124ba280688
132824059c2
14164b7a200
15c8427522
hex7fd403c8

2144601032 has 36 divisors (see below), whose sum is σ = 4679638155. Its totient is φ = 918721776.

The previous prime is 2144601031. The next prime is 2144601037. The reversal of 2144601032 is 2301064412.

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 can be written as a sum of positive squares in only one way, i.e., 1072300516 + 1072300516 = 32746^2 + 32746^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=32746.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2144600989 and 2144601007.

It is not an unprimeable number, because it can be changed into a prime (2144601031) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 915719 + ... + 918057.

Almost surely, 22144601032 is an apocalyptic number.

It is an amenable number.

2144601032 is an abundant number, since it is smaller than the sum of its proper divisors (2535037123).

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

2144601032 is an frugal number, since it uses more digits than its factorization.

2144601032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4698 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2144601032 is about 46309.8373134694. The cubic root of 2144601032 is about 1289.5816266416.

Multiplying 2144601032 by its product of nonzero digits (1152), we get a square (2470580388864 = 15718082).

Adding to 2144601032 its reverse (2301064412), we get a palindrome (4445665444).

The spelling of 2144601032 in words is "two billion, one hundred forty-four million, six hundred one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 2339 4678 9356 16373 18712 32746 65492 114611 130984 229222 458444 916888 5470921 10941842 21883684 38296447 43767368 76592894 153185788 268075129 306371576 536150258 1072300516 2144601032