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22234141314 = 23272112208337
BaseRepresentation
bin10100101101010000…
…100001001010000010
32010101112110101222100
4110231100201022002
5331013420010224
614114134451230
71414661040300
oct245520411202
963345411870
1022234141314
11947a658500
124386203b16
132134501248
14110cccd270
158a1e7dac9
hex52d421282

22234141314 has 108 divisors (see below), whose sum is σ = 61597004742. Its totient is φ = 5775073920.

The previous prime is 22234141301. The next prime is 22234141337. The reversal of 22234141314 is 41314143222.

22234141314 is a `hidden beast` number, since 2 + 2 + 2 + 341 + 4 + 1 + 314 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18764342289 + 3469799025 = 136983^2 + 58905^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2554 + ... + 210890.

Almost surely, 222234141314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22234141314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30798502371).

22234141314 is an abundant number, since it is smaller than the sum of its proper divisors (39362863428).

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

22234141314 is a wasteful number, since it uses less digits than its factorization.

22234141314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208381 (or 208360 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 22234141314 its reverse (41314143222), we get a palindrome (63548284536).

The spelling of 22234141314 in words is "twenty-two billion, two hundred thirty-four million, one hundred forty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 121 126 147 154 198 231 242 294 363 441 462 539 693 726 847 882 1078 1089 1386 1617 1694 2178 2541 3234 4851 5082 5929 7623 9702 11858 15246 17787 35574 53361 106722 208337 416674 625011 1250022 1458359 1875033 2291707 2916718 3750066 4375077 4583414 6875121 8750154 10208513 13125231 13750242 16041949 20417026 20625363 25208777 26250462 30625539 32083898 41250726 48125847 50417554 61251078 75626331 91876617 96251694 112293643 144377541 151252662 176461439 183753234 224587286 226878993 288755082 336880929 352922878 453757986 529384317 673761858 1010642787 1058768634 1235230073 1588152951 2021285574 2470460146 3176305902 3705690219 7411380438 11117070657 22234141314