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1117616214 = 23111319179383
BaseRepresentation
bin100001010011101…
…0111100001010110
32212212222210020010
41002213113201112
54242102204324
6302522221050
736460403211
oct10247274126
92785883203
101117616214
11523957670
12272354786
1314a70b090
14a8606778
15681b5829
hex429d7856

1117616214 has 128 divisors (see below), whose sum is σ = 2786918400. Its totient is φ = 293742720.

The previous prime is 1117616179. The next prime is 1117616219. The reversal of 1117616214 is 4126167111.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117616219) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2917867 + ... + 2918249.

It is an arithmetic number, because the mean of its divisors is an integer number (21772800).

Almost surely, 21117616214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1117616214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393459200).

1117616214 is an abundant number, since it is smaller than the sum of its proper divisors (1669302186).

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

1117616214 is a wasteful number, since it uses less digits than its factorization.

1117616214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610.

The product of its digits is 2016, while the sum is 30.

The square root of 1117616214 is about 33430.7674754858. The cubic root of 1117616214 is about 1037.7615235431.

The spelling of 1117616214 in words is "one billion, one hundred seventeen million, six hundred sixteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 13 19 22 26 33 38 39 57 66 78 114 143 179 209 247 286 358 383 418 429 494 537 627 741 766 858 1074 1149 1254 1482 1969 2298 2327 2717 3401 3938 4213 4654 4979 5434 5907 6802 6981 7277 8151 8426 9958 10203 11814 12639 13962 14554 14937 16302 20406 21831 25278 25597 29874 37411 43662 44213 51194 54769 68557 74822 76791 80047 88426 94601 109538 112233 132639 137114 153582 160094 164307 189202 205671 224466 240141 265278 283803 328614 411342 480282 486343 567606 754127 891241 972686 1040611 1302583 1459029 1508254 1782482 2081222 2262381 2605166 2673723 2918058 3121833 3907749 4524762 5347446 6243666 7815498 9803651 14328413 16933579 19607302 28656826 29410953 33867158 42985239 50800737 58821906 85970478 101601474 186269369 372538738 558808107 1117616214