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422033024 = 27717103269
BaseRepresentation
bin11001001001111…
…011011010000000
31002102010111110202
4121021323122000
51331020024044
6105513344332
713313135660
oct3111733200
91072114422
10422033024
111a7254726
12b94080a8
13695871aa
144009c1a0
15270b6c4e
hex1927b680

422033024 has 128 divisors (see below), whose sum is σ = 1031097600. Its totient is φ = 167952384.

The previous prime is 422033023. The next prime is 422033083. The reversal of 422033024 is 420330224.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4220330242 = 356223746693169152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 422032987 and 422033005.

It is not an unprimeable number, because it can be changed into a prime (422033023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1568762 + ... + 1569030.

It is an arithmetic number, because the mean of its divisors is an integer number (8055450).

Almost surely, 2422033024 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 422033024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515548800).

422033024 is an abundant number, since it is smaller than the sum of its proper divisors (609064576).

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

422033024 is a wasteful number, since it uses less digits than its factorization.

422033024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 422033024 is about 20543.4423600330. The cubic root of 422033024 is about 750.0936321621.

Adding to 422033024 its reverse (420330224), we get a palindrome (842363248).

The spelling of 422033024 in words is "four hundred twenty-two million, thirty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 103 112 119 128 136 206 224 238 269 272 412 448 476 538 544 721 824 896 952 1076 1088 1442 1648 1751 1883 1904 2152 2176 2884 3296 3502 3766 3808 4304 4573 5768 6592 7004 7532 7616 8608 9146 11536 12257 13184 14008 15064 15232 17216 18292 23072 24514 27707 28016 30128 32011 34432 36584 46144 49028 55414 56032 60256 64022 73168 92288 98056 110828 112064 120512 128044 146336 193949 196112 221656 224128 241024 256088 292672 387898 392224 443312 471019 512176 585344 775796 784448 886624 942038 1024352 1551592 1568896 1773248 1884076 2048704 3103184 3297133 3546496 3768152 4097408 6206368 6594266 7536304 12412736 13188532 15072608 24825472 26377064 30145216 52754128 60290432 105508256 211016512 422033024