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12217280 = 26573523
BaseRepresentation
bin101110100110…
…101111000000
3211222200221212
4232212233000
511111423110
61113505252
7205562615
oct56465700
924880855
1012217280
116995029
124112228
1326b9b7a
1418a050c
151114e05
hexba6bc0

12217280 has 56 divisors (see below), whose sum is σ = 29547312. Its totient is φ = 4810752.

The previous prime is 12217277. The next prime is 12217313. The reversal of 12217280 is 8271221.

12217280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23099 + ... + 23621.

Almost surely, 212217280 is an apocalyptic number.

12217280 is a gapful number since it is divisible by the number (10) 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 12217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14773656).

12217280 is an abundant number, since it is smaller than the sum of its proper divisors (17330032).

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

12217280 is an equidigital number, since it uses as much as digits as its factorization.

12217280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 12217280 is about 3495.3225888321. The cubic root of 12217280 is about 230.3163887716.

The spelling of 12217280 in words is "twelve million, two hundred seventeen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 146 160 292 320 365 523 584 730 1046 1168 1460 2092 2336 2615 2920 4184 4672 5230 5840 8368 10460 11680 16736 20920 23360 33472 38179 41840 76358 83680 152716 167360 190895 305432 381790 610864 763580 1221728 1527160 2443456 3054320 6108640 12217280