Search a number
-
+
2324220144 = 2431719149911
BaseRepresentation
bin1000101010001000…
…1100100011110000
312222222102121122120
42022202030203300
514230000021034
61022344034240
7111411355011
oct21242144360
95888377576
102324220144
11a92a63aa4
1254a462980
132b06a53bc
14180975008
15d90a7c49
hex8a88c8f0

2324220144 has 80 divisors (see below), whose sum is σ = 6692071680. Its totient is φ = 690785280.

The previous prime is 2324220121. The next prime is 2324220149. The reversal of 2324220144 is 4410224232.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2324220149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59452 + ... + 90459.

It is an arithmetic number, because the mean of its divisors is an integer number (83650896).

Almost surely, 22324220144 is an apocalyptic number.

2324220144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2324220144 is an abundant number, since it is smaller than the sum of its proper divisors (4367851536).

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

2324220144 is a wasteful number, since it uses less digits than its factorization.

2324220144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149958 (or 149952 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2324220144 is about 48210.1663967259. The cubic root of 2324220144 is about 1324.6233924797.

Adding to 2324220144 its reverse (4410224232), we get a palindrome (6734444376).

The spelling of 2324220144 in words is "two billion, three hundred twenty-four million, two hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 408 456 646 816 912 969 1292 1938 2584 3876 5168 7752 15504 149911 299822 449733 599644 899466 1199288 1798932 2398576 2548487 2848309 3597864 5096974 5696618 7195728 7645461 8544927 10193948 11393236 15290922 17089854 20387896 22786472 30581844 34179708 40775792 45572944 48421253 61163688 68359416 96842506 122327376 136718832 145263759 193685012 290527518 387370024 581055036 774740048 1162110072 2324220144