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22014864 = 2432172232
BaseRepresentation
bin101001111111…
…0101110010000
31112102110201100
41103332232100
521113433424
62103504400
7355060164
oct123765620
945373640
1022014864
1111477103
127458100
13473a561
142cd0ca4
151decdc9
hex14feb90

22014864 has 135 divisors (see below), whose sum is σ = 68417713. Its totient is φ = 6606336.

The previous prime is 22014859. The next prime is 22014871. The reversal of 22014864 is 46841022.

Adding to 22014864 its reverse (46841022), we get a palindrome (68855886).

The square root of 22014864 is 4692.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17139600 + 4875264 = 4140^2 + 2208^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 957157 + ... + 957179.

Almost surely, 222014864 is an apocalyptic number.

22014864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

22014864 is the 4692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22014864

22014864 is an abundant number, since it is smaller than the sum of its proper divisors (46402849).

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

22014864 is a wasteful number, since it uses less digits than its factorization.

22014864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The cubic root of 22014864 is about 280.2670241809.

The spelling of 22014864 in words is "twenty-two million, fourteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 23 24 34 36 46 48 51 68 69 72 92 102 136 138 144 153 184 204 207 272 276 289 306 368 391 408 414 529 552 578 612 782 816 828 867 1058 1104 1156 1173 1224 1564 1587 1656 1734 2116 2312 2346 2448 2601 3128 3174 3312 3468 3519 4232 4624 4692 4761 5202 6256 6348 6647 6936 7038 8464 8993 9384 9522 10404 12696 13294 13872 14076 17986 18768 19044 19941 20808 25392 26588 26979 28152 35972 38088 39882 41616 53176 53958 56304 59823 71944 76176 79764 80937 106352 107916 119646 143888 152881 159528 161874 215832 239292 305762 319056 323748 431664 458643 478584 611524 647496 917286 957168 1223048 1294992 1375929 1834572 2446096 2751858 3669144 5503716 7338288 11007432 22014864