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2214105234 = 23113747101191
BaseRepresentation
bin1000001111111000…
…1001000010010010
312201022020012101120
42003332021002102
514013302331414
61003411543110
7105603404205
oct20376110222
95638205346
102214105234
11a36894040
125195baa96
1329392c953
141700ad93c
15ce5a62a9
hex83f89092

2214105234 has 128 divisors (see below), whose sum is σ = 5143855104. Its totient is φ = 629280000.

The previous prime is 2214105233. The next prime is 2214105239. The reversal of 2214105234 is 4325014122.

It is not an unprimeable number, because it can be changed into a prime (2214105233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11592079 + ... + 11592269.

It is an arithmetic number, because the mean of its divisors is an integer number (40186368).

Almost surely, 22214105234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214105234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571927552).

2214105234 is an abundant number, since it is smaller than the sum of its proper divisors (2929749870).

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

2214105234 is a wasteful number, since it uses less digits than its factorization.

2214105234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2214105234 is about 47054.2796565838. The cubic root of 2214105234 is about 1303.3650952302.

Adding to 2214105234 its reverse (4325014122), we get a palindrome (6539119356).

The spelling of 2214105234 in words is "two billion, two hundred fourteen million, one hundred five thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 37 47 66 74 94 101 111 141 191 202 222 282 303 382 407 517 573 606 814 1034 1111 1146 1221 1551 1739 2101 2222 2442 3102 3333 3478 3737 4202 4747 5217 6303 6666 7067 7474 8977 9494 10434 11211 12606 14134 14241 17954 19129 19291 21201 22422 26931 28482 38258 38582 41107 42402 52217 53862 57387 57873 77737 82214 98747 104434 114774 115746 123321 155474 156651 175639 197494 212201 233211 246642 296241 313302 332149 351278 424402 466422 526917 592482 636603 664298 713767 906677 996447 1053834 1273206 1427534 1813354 1932029 1992894 2141301 2720031 3653639 3864058 4282602 5440062 5796087 7307278 7851437 9973447 10960917 11592174 15702874 19946894 21921834 23554311 29920341 33547049 47108622 59840682 67094098 100641147 201282294 369017539 738035078 1107052617 2214105234