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42222040 = 23571011493
BaseRepresentation
bin1010000100010…
…0000111011000
32221110002202021
42201010013120
541302101130
64104544224
71021611220
oct241040730
987402667
1042222040
1121919053
1212182074
138994073
145871080
153a9037a
hex28441d8

42222040 has 64 divisors (see below), whose sum is σ = 109719360. Its totient is φ = 14323200.

The previous prime is 42222023. The next prime is 42222041. The reversal of 42222040 is 4022224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42222041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27534 + ... + 29026.

It is an arithmetic number, because the mean of its divisors is an integer number (1714365).

Almost surely, 242222040 is an apocalyptic number.

42222040 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 42222040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54859680).

42222040 is an abundant number, since it is smaller than the sum of its proper divisors (67497320).

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

42222040 is a wasteful number, since it uses less digits than its factorization.

42222040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1608 counting only the distinct ones).

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

The square root of 42222040 is about 6497.8488748200. The cubic root of 42222040 is about 348.2141413330.

Adding to 42222040 its reverse (4022224), we get a palindrome (46244264).

The spelling of 42222040 in words is "forty-two million, two hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 101 140 202 280 404 505 707 808 1010 1414 1493 2020 2828 2986 3535 4040 5656 5972 7070 7465 10451 11944 14140 14930 20902 28280 29860 41804 52255 59720 83608 104510 150793 209020 301586 418040 603172 753965 1055551 1206344 1507930 2111102 3015860 4222204 5277755 6031720 8444408 10555510 21111020 42222040