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20230144 = 21211449
BaseRepresentation
bin100110100101…
…1000000000000
31102001210112121
41031023000000
520134331034
62001334024
7333645004
oct115130000
942053477
1020230144
1110468230
126937314
1342640cc
142988704
151b991b4
hex134b000

20230144 has 52 divisors (see below), whose sum is σ = 44231400. Its totient is φ = 9175040.

The previous prime is 20230121. The next prime is 20230151. The reversal of 20230144 is 44103202.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44832 + ... + 45280.

Almost surely, 220230144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22115700).

20230144 is an abundant number, since it is smaller than the sum of its proper divisors (24001256).

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

20230144 is an equidigital number, since it uses as much as digits as its factorization.

20230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 462 counting only the distinct ones).

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

The square root of 20230144 is about 4497.7932366884. The cubic root of 20230144 is about 272.4789715277.

Adding to 20230144 its reverse (44103202), we get a palindrome (64333346).

The spelling of 20230144 in words is "twenty million, two hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 449 512 704 898 1024 1408 1796 2048 2816 3592 4096 4939 5632 7184 9878 11264 14368 19756 22528 28736 39512 45056 57472 79024 114944 158048 229888 316096 459776 632192 919552 1264384 1839104 2528768 5057536 10115072 20230144