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144322000 = 245372161
BaseRepresentation
bin10001001101000…
…10110111010000
3101001120022120021
420212202313100
5243421301000
622153153224
73401500564
oct1046426720
9331508507
10144322000
1174514289
12403bb814
1323b91644
141524b6a4
15ca0c11a
hex89a2dd0

144322000 has 40 divisors (see below), whose sum is σ = 348975432. Its totient is φ = 57728000.

The previous prime is 144321973. The next prime is 144322001. The reversal of 144322000 is 223441.

It can be written as a sum of positive squares in 4 ways, for example, as 33856 + 144288144 = 184^2 + 12012^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144322001) 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, 34081 + ... + 38080.

Almost surely, 2144322000 is an apocalyptic number.

144322000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144322000 is an abundant number, since it is smaller than the sum of its proper divisors (204653432).

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

144322000 is an equidigital number, since it uses as much as digits as its factorization.

144322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72184 (or 72168 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 144322000 is about 12013.4091747514. The cubic root of 144322000 is about 524.5386725950.

Adding to 144322000 its reverse (223441), we get a palindrome (144545441).

The spelling of 144322000 in words is "one hundred forty-four million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 72161 144322 288644 360805 577288 721610 1154576 1443220 1804025 2886440 3608050 5772880 7216100 9020125 14432200 18040250 28864400 36080500 72161000 144322000