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2226613116 = 22372131915331
BaseRepresentation
bin1000010010110111…
…0110101101111100
312202011202122222110
42010231312231330
514030003104431
61004540014020
7106114620300
oct20455665574
95664678873
102226613116
11a42957432
12521831310
132963bbb70
14171a07d00
15d0727346
hex84b76b7c

2226613116 has 144 divisors (see below), whose sum is σ = 6851564160. Its totient is φ = 556295040.

The previous prime is 2226613091. The next prime is 2226613139. The reversal of 2226613116 is 6113166222.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137571 + ... + 152901.

Almost surely, 22226613116 is an apocalyptic number.

2226613116 is a gapful number since it is divisible by the number (26) 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 2226613116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425782080).

2226613116 is an abundant number, since it is smaller than the sum of its proper divisors (4624951044).

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

2226613116 is a wasteful number, since it uses less digits than its factorization.

2226613116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15384 (or 15375 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 2226613116 is about 47187.0015576324. The cubic root of 2226613116 is about 1305.8148033202.

Adding to 2226613116 its reverse (6113166222), we get a palindrome (8339779338).

The spelling of 2226613116 in words is "two billion, two hundred twenty-six million, six hundred thirteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 49 52 57 76 78 84 91 98 114 133 147 156 182 196 228 247 266 273 294 364 399 494 532 546 588 637 741 798 931 988 1092 1274 1482 1596 1729 1862 1911 2548 2793 2964 3458 3724 3822 5187 5586 6916 7644 10374 11172 12103 15331 20748 24206 30662 36309 45993 48412 61324 72618 91986 107317 145236 183972 199303 214634 291289 321951 398606 429268 582578 597909 643902 751219 797212 873867 1165156 1195818 1287804 1395121 1502438 1747734 2039023 2253657 2391636 2790242 3004876 3495468 3786757 4078046 4185363 4507314 5580484 6117069 7573514 8156092 8370726 9014628 9765847 11360271 12234138 14273161 15147028 16741452 19531694 22720542 24468276 26507299 28546322 29297541 39063388 42819483 45441084 53014598 57092644 58595082 79521897 85638966 106029196 117190164 159043794 171277932 185551093 318087588 371102186 556653279 742204372 1113306558 2226613116