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42230500 = 2253137389
BaseRepresentation
bin1010000100011…
…0001011100100
32221110112100121
42201012023210
541302334000
64105051324
71021644664
oct241061344
987415317
1042230500
1121924444
1212186b44
138997b80
1458741a4
153a92b1a
hex28462e4

42230500 has 96 divisors (see below), whose sum is σ = 101818080. Its totient is φ = 15206400.

The previous prime is 42230479. The next prime is 42230501. The reversal of 42230500 is 503224.

It can be written as a sum of positive squares in 16 ways, for example, as 39740416 + 2490084 = 6304^2 + 1578^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42230501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474456 + ... + 474544.

It is an arithmetic number, because the mean of its divisors is an integer number (1060605).

Almost surely, 242230500 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 42230500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50909040).

42230500 is an abundant number, since it is smaller than the sum of its proper divisors (59587580).

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

42230500 is a wasteful number, since it uses less digits than its factorization.

42230500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 42230500 is about 6498.4998268831. The cubic root of 42230500 is about 348.2373969195.

Adding to 42230500 its reverse (503224), we get a palindrome (42733724).

The spelling of 42230500 in words is "forty-two million, two hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 73 89 100 125 130 146 178 250 260 292 325 356 365 445 500 650 730 890 949 1157 1300 1460 1625 1780 1825 1898 2225 2314 3250 3650 3796 4450 4628 4745 5785 6497 6500 7300 8900 9125 9490 11125 11570 12994 18250 18980 22250 23140 23725 25988 28925 32485 36500 44500 47450 57850 64970 84461 94900 115700 118625 129940 144625 162425 168922 237250 289250 324850 337844 422305 474500 578500 649700 812125 844610 1624250 1689220 2111525 3248500 4223050 8446100 10557625 21115250 42230500