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14117922 = 233713317
BaseRepresentation
bin110101110110…
…110000100010
3222120021011000
4311312300202
512103233142
61222332430
7231000060
oct65666042
928507130
1014117922
117a73005
12488a116
132c04000
141c37030
15138d14c
hexd76c22

14117922 has 128 divisors (see below), whose sum is σ = 41126400. Its totient is φ = 3504384.

The previous prime is 14117921. The next prime is 14117923. The reversal of 14117922 is 22971141.

14117922 = T118 + T119 + ... + T441.

14117922 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 an interprime number because it is at equal distance from previous prime (14117921) and next prime (14117923).

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1008) is a multiple of the sum of its prime divisors (42).

It is not an unprimeable number, because it can be changed into a prime (14117921) 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, 830458 + ... + 830474.

It is an arithmetic number, because the mean of its divisors is an integer number (321300).

Almost surely, 214117922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14117922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563200).

14117922 is an abundant number, since it is smaller than the sum of its proper divisors (27008478).

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

14117922 is a wasteful number, since it uses less digits than its factorization.

14117922 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 42 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 14117922 is about 3757.3823334870. The cubic root of 14117922 is about 241.6890229549.

The spelling of 14117922 in words is "fourteen million, one hundred seventeen thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 27 34 39 42 51 54 63 78 91 102 117 119 126 153 169 182 189 221 234 238 273 306 338 351 357 378 442 459 507 546 663 702 714 819 918 1014 1071 1183 1326 1521 1547 1638 1989 2142 2197 2366 2457 2873 3042 3094 3213 3549 3978 4394 4563 4641 4914 5746 5967 6426 6591 7098 8619 9126 9282 10647 11934 13182 13923 15379 17238 19773 20111 21294 25857 27846 30758 31941 37349 39546 40222 41769 46137 51714 59319 60333 63882 74698 77571 83538 92274 112047 118638 120666 138411 155142 180999 224094 261443 276822 336141 361998 415233 522886 542997 672282 784329 830466 1008423 1085994 1568658 2016846 2352987 4705974 7058961 14117922