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2233143144 = 2332296189197
BaseRepresentation
bin1000010100011011…
…0000111101101000
312202122001102111100
42011012300331220
514033141040034
61005332001400
7106224255261
oct20506607550
95678042440
102233143144
11a46607551
12523a60260
1329786719b
14172827968
15d10b7099
hex851b0f68

2233143144 has 192 divisors, whose sum is σ = 6463314000. Its totient is φ = 695439360.

The previous prime is 2233143139. The next prime is 2233143151. The reversal of 2233143144 is 4413413322.

2233143144 is a `hidden beast` number, since 223 + 3 + 1 + 431 + 4 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 820135044 + 1413008100 = 28638^2 + 37590^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11335654 + ... + 11335850.

Almost surely, 22233143144 is an apocalyptic number.

2233143144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2233143144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231657000).

2233143144 is an abundant number, since it is smaller than the sum of its proper divisors (4230170856).

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

2233143144 is a wasteful number, since it uses less digits than its factorization.

2233143144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 381 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 2233143144 is about 47256.1439814973. The cubic root of 2233143144 is about 1307.0900862381.

Adding to 2233143144 its reverse (4413413322), we get a palindrome (6646556466).

The spelling of 2233143144 in words is "two billion, two hundred thirty-three million, one hundred forty-three thousand, one hundred forty-four".