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42422200 = 2352474513
BaseRepresentation
bin1010000111010…
…0111110111000
32221211021022121
42201310332320
541330002300
64113131024
71023403612
oct241647670
987737277
1042422200
1121a45477
1212259a74
138a341c2
1458c3db2
153ace81a
hex2874fb8

42422200 has 48 divisors (see below), whose sum is σ = 100752480. Its totient is φ = 16604160.

The previous prime is 42422179. The next prime is 42422203. The reversal of 42422200 is 222424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42422203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7144 + ... + 11656.

It is an arithmetic number, because the mean of its divisors is an integer number (2099010).

Almost surely, 242422200 is an apocalyptic number.

42422200 is a gapful number since it is divisible by the number (40) 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 42422200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50376240).

42422200 is an abundant number, since it is smaller than the sum of its proper divisors (58330280).

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

42422200 is a wasteful number, since it uses less digits than its factorization.

42422200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4576 (or 4567 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 42422200 is about 6513.2326843128. The cubic root of 42422200 is about 348.7635281212.

Adding to 42422200 its reverse (222424), we get a palindrome (42644624).

The spelling of 42422200 in words is "forty-two million, four hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 940 1175 1880 2350 4513 4700 9026 9400 18052 22565 36104 45130 90260 112825 180520 212111 225650 424222 451300 848444 902600 1060555 1696888 2121110 4242220 5302775 8484440 10605550 21211100 42422200