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14454216 = 23327217241
BaseRepresentation
bin110111001000…
…110111001000
31000012100110100
4313020313020
512200013331
61233445400
7233600400
oct67106710
930170410
1014454216
118182737
124a10860
132cc10ba
141cc3800
151407ae6
hexdc8dc8

14454216 has 144 divisors (see below), whose sum is σ = 48416940. Its totient is φ = 3870720.

The previous prime is 14454203. The next prime is 14454221. The reversal of 14454216 is 61245441.

14454216 is a `hidden beast` number, since 1 + 445 + 4 + 216 = 666.

14454216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13351716 + 1102500 = 3654^2 + 1050^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 14454216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59856 + ... + 60096.

Almost surely, 214454216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14454216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24208470).

14454216 is an abundant number, since it is smaller than the sum of its proper divisors (33962724).

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

14454216 is a wasteful number, since it uses less digits than its factorization.

14454216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 270 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 14454216 is about 3801.8700661648. The cubic root of 14454216 is about 243.5930239778.

Adding to 14454216 its reverse (61245441), we get a palindrome (75699657).

The spelling of 14454216 in words is "fourteen million, four hundred fifty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 49 51 56 63 68 72 84 98 102 119 126 136 147 153 168 196 204 238 241 252 294 306 357 392 408 441 476 482 504 588 612 714 723 833 882 952 964 1071 1176 1224 1428 1446 1666 1687 1764 1928 2142 2169 2499 2856 2892 3332 3374 3528 4097 4284 4338 4998 5061 5784 6664 6748 7497 8194 8568 8676 9996 10122 11809 12291 13496 14994 15183 16388 17352 19992 20244 23618 24582 28679 29988 30366 32776 35427 36873 40488 47236 49164 57358 59976 60732 70854 73746 86037 94472 98328 106281 114716 121464 141708 147492 172074 200753 212562 229432 258111 283416 294984 344148 401506 425124 516222 602259 688296 803012 850248 1032444 1204518 1606024 1806777 2064888 2409036 3613554 4818072 7227108 14454216