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22127064 = 23317193281
BaseRepresentation
bin101010001101…
…0000111011000
31112122011121220
41110122013120
521131031224
62110132040
7356035251
oct124320730
945564556
1022127064
1111543433
1274b1020
13477964b
142d1db28
151e21279
hex151a1d8

22127064 has 64 divisors (see below), whose sum is σ = 59084640. Its totient is φ = 6881280.

The previous prime is 22127057. The next prime is 22127089. The reversal of 22127064 is 46072122.

It is a super-2 number, since 2×221270642 = 979213922520192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78604 + ... + 78884.

Almost surely, 222127064 is an apocalyptic number.

22127064 is a gapful number since it is divisible by the number (24) 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 22127064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29542320).

22127064 is an abundant number, since it is smaller than the sum of its proper divisors (36957576).

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

22127064 is a wasteful number, since it uses less digits than its factorization.

22127064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 22127064 is about 4703.9413261647. The cubic root of 22127064 is about 280.7423498340.

Adding to 22127064 its reverse (46072122), we get a palindrome (68199186).

The spelling of 22127064 in words is "twenty-two million, one hundred twenty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 193 204 281 386 408 562 579 772 843 1124 1158 1544 1686 2248 2316 3281 3372 4632 4777 6562 6744 9554 9843 13124 14331 19108 19686 26248 28662 38216 39372 54233 57324 78744 108466 114648 162699 216932 325398 433864 650796 921961 1301592 1843922 2765883 3687844 5531766 7375688 11063532 22127064