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22045842 = 23271343313
BaseRepresentation
bin101010000011…
…0010010010010
31112111001012200
41110012102102
521120431332
62104304030
7355246410
oct124062222
945431180
1022045842
1111498405
127472016
13474b6a0
142cdc2b0
151e0717c
hex1506492

22045842 has 96 divisors (see below), whose sum is σ = 60348288. Its totient is φ = 5660928.

The previous prime is 22045841. The next prime is 22045853. The reversal of 22045842 is 24854022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22045841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70278 + ... + 70590.

It is an arithmetic number, because the mean of its divisors is an integer number (628628).

Almost surely, 222045842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22045842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30174144).

22045842 is an abundant number, since it is smaller than the sum of its proper divisors (38302446).

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

22045842 is a wasteful number, since it uses less digits than its factorization.

22045842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 22045842 is about 4695.2999904159. The cubic root of 22045842 is about 280.3984209006.

Adding to 22045842 its reverse (24854022), we get a palindrome (46899864).

The spelling of 22045842 in words is "twenty-two million, forty-five thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 43 63 78 86 91 117 126 129 182 234 258 273 301 313 387 546 559 602 626 774 819 903 939 1118 1638 1677 1806 1878 2191 2709 2817 3354 3913 4069 4382 5031 5418 5634 6573 7826 8138 10062 11739 12207 13146 13459 19719 23478 24414 26918 28483 35217 36621 39438 40377 56966 70434 73242 80754 85449 94213 121131 170898 174967 188426 242262 256347 282639 349934 512694 524901 565278 847917 1049802 1224769 1574703 1695834 2449538 3149406 3674307 7348614 11022921 22045842