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105223064 = 23171943947
BaseRepresentation
bin1100100010110…
…01001110011000
321022222212220112
412101121032120
5203414114224
614235143452
72415244532
oct621311630
9238885815
10105223064
1154439711
122b2a4b88
1318a51c8b
14dd90852
15938730e
hex6459398

105223064 has 64 divisors (see below), whose sum is σ = 225244800. Its totient is φ = 45771264.

The previous prime is 105223061. The next prime is 105223093. The reversal of 105223064 is 460322501.

It is a super-2 number, since 2×1052230642 = 22143786395096192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105223061) 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, 110639 + ... + 111585.

It is an arithmetic number, because the mean of its divisors is an integer number (3519450).

Almost surely, 2105223064 is an apocalyptic number.

It is an amenable number.

105223064 is an abundant number, since it is smaller than the sum of its proper divisors (120021736).

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

105223064 is a wasteful number, since it uses less digits than its factorization.

105223064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 105223064 is about 10257.8294000242. The cubic root of 105223064 is about 472.1032403679.

Adding to 105223064 its reverse (460322501), we get a palindrome (565545565).

The spelling of 105223064 in words is "one hundred five million, two hundred twenty-three thousand, sixty-four".

Divisors: 1 2 4 8 17 19 34 38 43 68 76 86 136 152 172 323 344 646 731 817 947 1292 1462 1634 1894 2584 2924 3268 3788 5848 6536 7576 13889 16099 17993 27778 32198 35986 40721 55556 64396 71972 81442 111112 128792 143944 162884 305881 325768 611762 692257 773699 1223524 1384514 1547398 2447048 2769028 3094796 5538056 6189592 13152883 26305766 52611532 105223064