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42422022 = 23319173239
BaseRepresentation
bin1010000111010…
…0111100000110
32221211021002000
42201310330012
541330001042
64113130130
71023403236
oct241647406
987737060
1042422022
1121a45325
1212259946
138a340b6
1458c3cc6
153ace74c
hex2874f06

42422022 has 64 divisors (see below), whose sum is σ = 100224000. Its totient is φ = 13263264.

The previous prime is 42422011. The next prime is 42422027. The reversal of 42422022 is 22022424.

42422022 is a `hidden beast` number, since 424 + 220 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42421986 and 42422004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42422027) 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, 177379 + ... + 177617.

It is an arithmetic number, because the mean of its divisors is an integer number (1566000).

Almost surely, 242422022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42422022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50112000).

42422022 is an abundant number, since it is smaller than the sum of its proper divisors (57801978).

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

42422022 is a wasteful number, since it uses less digits than its factorization.

42422022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 42422022 is about 6513.2190198089. The cubic root of 42422022 is about 348.7630403264.

Adding to 42422022 its reverse (22022424), we get a palindrome (64444446).

The spelling of 42422022 in words is "forty-two million, four hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 173 239 342 346 478 513 519 717 1026 1038 1434 1557 2151 3114 3287 4302 4541 4671 6453 6574 9082 9342 9861 12906 13623 19722 27246 29583 40869 41347 59166 81738 82694 88749 122607 124041 177498 245214 248082 372123 744246 785593 1116369 1571186 2232738 2356779 4713558 7070337 14140674 21211011 42422022