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22230208 = 2671113347
BaseRepresentation
bin101010011001…
…1010011000000
31112211102010001
41110303103000
521142331313
62112245344
7356645050
oct124632300
945742101
1022230208
1111603980
127540854
1347b4590
142d49560
151e41add
hex15334c0

22230208 has 112 divisors (see below), whose sum is σ = 59399424. Its totient is φ = 7971840.

The previous prime is 22230149. The next prime is 22230227. The reversal of 22230208 is 80203222.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63891 + ... + 64237.

It is an arithmetic number, because the mean of its divisors is an integer number (530352).

Almost surely, 222230208 is an apocalyptic number.

22230208 is a gapful number since it is divisible by the number (28) 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 22230208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29699712).

22230208 is an abundant number, since it is smaller than the sum of its proper divisors (37169216).

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

22230208 is a wasteful number, since it uses less digits than its factorization.

22230208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 22230208 is about 4714.8921514707. The cubic root of 22230208 is about 281.1778950631.

The spelling of 22230208 in words is "twenty-two million, two hundred thirty thousand, two hundred eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 143 154 176 182 208 224 286 308 347 352 364 416 448 572 616 694 704 728 832 1001 1144 1232 1388 1456 2002 2288 2429 2464 2776 2912 3817 4004 4511 4576 4858 4928 5552 5824 7634 8008 9022 9152 9716 11104 15268 16016 18044 19432 22208 26719 30536 31577 32032 36088 38864 49621 53438 61072 63154 64064 72176 77728 99242 106876 122144 126308 144352 155456 198484 213752 244288 252616 288704 347347 396968 427504 505232 694694 793936 855008 1010464 1389388 1587872 1710016 2020928 2778776 3175744 5557552 11115104 22230208