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214379712 = 26322231669
BaseRepresentation
bin11001100011100…
…10110011000000
3112221101121200100
430301302303000
5414340122322
633134522400
75212124511
oct1461626300
9487347610
10214379712
11100014718
125b966400
1335550501
1420686a08
1513c49dac
hexcc72cc0

214379712 has 84 divisors (see below), whose sum is σ = 617606080. Its totient is φ = 71096832.

The previous prime is 214379657. The next prime is 214379713. The reversal of 214379712 is 217973412.

214379712 is a `hidden beast` number, since 214 + 379 + 71 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (214379713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127614 + ... + 129282.

Almost surely, 2214379712 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 214379712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308803040).

214379712 is an abundant number, since it is smaller than the sum of its proper divisors (403226368).

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

214379712 is a wasteful number, since it uses less digits than its factorization.

214379712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1897 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 214379712 is about 14641.7113753823. The cubic root of 214379712 is about 598.4959662879.

The spelling of 214379712 in words is "two hundred fourteen million, three hundred seventy-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 223 288 446 576 669 892 1338 1669 1784 2007 2676 3338 3568 4014 5007 5352 6676 7136 8028 10014 10704 13352 14272 15021 16056 20028 21408 26704 30042 32112 40056 42816 53408 60084 64224 80112 106816 120168 128448 160224 240336 320448 372187 480672 744374 961344 1116561 1488748 2233122 2977496 3349683 4466244 5954992 6699366 8932488 11909984 13398732 17864976 23819968 26797464 35729952 53594928 71459904 107189856 214379712