Search a number
-
+
2323212144 = 243114400023
BaseRepresentation
bin1000101001111001…
…0110011101110000
312222220112101221020
42022132112131300
514224220242034
61022310255440
7111366656151
oct21236263560
95886471836
102323212144
11a92435740
1254a057580
132b0411656
14180791928
15d8e59249
hex8a796770

2323212144 has 40 divisors (see below), whose sum is σ = 6547235712. Its totient is φ = 704003520.

The previous prime is 2323212131. The next prime is 2323212149. The reversal of 2323212144 is 4412123232.

It is a happy number.

2323212144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2323212149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2199484 + ... + 2200539.

Almost surely, 22323212144 is an apocalyptic number.

2323212144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2323212144 is an abundant number, since it is smaller than the sum of its proper divisors (4224023568).

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

2323212144 is a wasteful number, since it uses less digits than its factorization.

2323212144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4400045 (or 4400039 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2323212144 is about 48199.7110364782. The cubic root of 2323212144 is about 1324.4318711135.

Adding to 2323212144 its reverse (4412123232), we get a palindrome (6735335376).

The spelling of 2323212144 in words is "two billion, three hundred twenty-three million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 4400023 8800046 13200069 17600092 26400138 35200184 48400253 52800276 70400368 96800506 105600552 145200759 193601012 211201104 290401518 387202024 580803036 774404048 1161606072 2323212144