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14822964 = 223213191667
BaseRepresentation
bin111000100010…
…111000110100
31000220002021200
4320202320310
512243313324
61245412500
7236664432
oct70427064
930802250
1014822964
118404792
124b6a130
1330bcbb0
141d7bd52
15147bec9
hexe22e34

14822964 has 72 divisors (see below), whose sum is σ = 42500640. Its totient is φ = 4318272.

The previous prime is 14822959. The next prime is 14822981. The reversal of 14822964 is 46922841.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8059 + ... + 9725.

Almost surely, 214822964 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 14822964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21250320).

14822964 is an abundant number, since it is smaller than the sum of its proper divisors (27677676).

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

14822964 is a wasteful number, since it uses less digits than its factorization.

14822964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1704 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 14822964 is about 3850.0602592687. The cubic root of 14822964 is about 245.6471244372.

The spelling of 14822964 in words is "fourteen million, eight hundred twenty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 1667 2223 2964 3334 4446 5001 6668 8892 10002 15003 20004 21671 30006 31673 43342 60012 63346 65013 86684 95019 126692 130026 190038 195039 260052 285057 380076 390078 411749 570114 780156 823498 1140228 1235247 1646996 2470494 3705741 4940988 7411482 14822964