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213714672 = 24335312613
BaseRepresentation
bin11001011110100…
…00011011110000
3112220010211102020
430233100123300
5414202332142
633112351440
75203354563
oct1457203360
9486124366
10213714672
11aa6aaaa6
125b6a5580
13353798b2
14205524da
1513b67cec
hexcbd06f0

213714672 has 40 divisors (see below), whose sum is σ = 553704144. Its totient is φ = 71030784.

The previous prime is 213714661. The next prime is 213714691. The reversal of 213714672 is 276417312.

213714672 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2137146724 (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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, 10638 + ... + 23250.

Almost surely, 2213714672 is an apocalyptic number.

It is an amenable number.

213714672 is an abundant number, since it is smaller than the sum of its proper divisors (339989472).

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

213714672 is a wasteful number, since it uses less digits than its factorization.

213714672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12977 (or 12971 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 213714672 is about 14618.9832751803. The cubic root of 213714672 is about 597.8764486383.

The spelling of 213714672 in words is "two hundred thirteen million, seven hundred fourteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 353 706 1059 1412 2118 2824 4236 5648 8472 12613 16944 25226 37839 50452 75678 100904 151356 201808 302712 605424 4452389 8904778 13357167 17809556 26714334 35619112 53428668 71238224 106857336 213714672