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2230221105 = 325723541569
BaseRepresentation
bin1000010011101110…
…0111100100110001
312202102112222012200
42010323213210301
514031414033410
61005145213413
7106160365230
oct20473474461
95672488180
102230221105
11a449a1142
12522a91269
13297083178
141722a6b17
15d0bdb3c0
hex84ee7931

2230221105 has 96 divisors (see below), whose sum is σ = 4626685440. Its totient is φ = 971688960.

The previous prime is 2230221047. The next prime is 2230221107. The reversal of 2230221105 is 5011220322.

2230221105 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2230221105 - 29 = 2230220593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2230221107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3919261 + ... + 3919829.

It is an arithmetic number, because the mean of its divisors is an integer number (48194640).

Almost surely, 22230221105 is an apocalyptic number.

It is an amenable number.

2230221105 is an abundant number, since it is smaller than the sum of its proper divisors (2396464335).

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

2230221105 is a wasteful number, since it uses less digits than its factorization.

2230221105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2230221105 is about 47225.2168338061. The cubic root of 2230221105 is about 1306.5197338933.

Adding to 2230221105 its reverse (5011220322), we get a palindrome (7241441427).

The spelling of 2230221105 in words is "two billion, two hundred thirty million, two hundred twenty-one thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 345 483 541 569 805 1035 1449 1623 1707 2415 2705 2845 3787 3983 4869 5121 7245 8115 8535 11361 11949 12443 13087 18935 19915 24345 25605 34083 35847 37329 39261 56805 59745 62215 65435 87101 91609 111987 117783 170415 179235 186645 196305 261303 274827 307829 435505 458045 559935 588915 783909 824481 923487 1306515 1374135 1539145 2154803 2770461 3919545 4122405 4617435 6464409 7080067 10774015 13852305 19393227 21240201 32322045 35400335 49560469 63720603 96966135 106201005 148681407 247802345 318603015 446044221 743407035 2230221105