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42230144 = 271189337
BaseRepresentation
bin1010000100011…
…0000110000000
32221110111212102
42201012012000
541302331034
64105045532
71021643645
oct241060600
987414772
1042230144
1121924150
12121868a8
138997968
145873dcc
153a9297e
hex2846180

42230144 has 64 divisors (see below), whose sum is σ = 93085200. Its totient is φ = 18923520.

The previous prime is 42230143. The next prime is 42230147. The reversal of 42230144 is 44103224.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42230143) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 125144 + ... + 125480.

Almost surely, 242230144 is an apocalyptic number.

42230144 is a gapful number since it is divisible by the number (44) 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 42230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46542600).

42230144 is an abundant number, since it is smaller than the sum of its proper divisors (50855056).

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

42230144 is a wasteful number, since it uses less digits than its factorization.

42230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 42230144 is about 6498.4724358883. The cubic root of 42230144 is about 348.2364183782.

Adding to 42230144 its reverse (44103224), we get a palindrome (86333368).

Subtracting 42230144 from its reverse (44103224), we obtain a triangular number (1873080 = T1935).

The spelling of 42230144 in words is "forty-two million, two hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 89 128 176 178 337 352 356 674 704 712 979 1348 1408 1424 1958 2696 2848 3707 3916 5392 5696 7414 7832 10784 11392 14828 15664 21568 29656 29993 31328 43136 59312 59986 62656 118624 119972 125312 237248 239944 329923 474496 479888 659846 959776 1319692 1919552 2639384 3839104 5278768 10557536 21115072 42230144