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214157832 = 23372182107
BaseRepresentation
bin11001100001111…
…00101000001000
3112220222100022120
430300330220020
5414311022312
633130051240
75210211600
oct1460745010
9486870276
10214157832
11aa982a49
125b879b20
13354a3515
1420629c00
1513c0428c
hexcc3ca08

214157832 has 48 divisors (see below), whose sum is σ = 622809360. Its totient is φ = 61187616.

The previous prime is 214157831. The next prime is 214157833. The reversal of 214157832 is 238751412.

It is an interprime number because it is at equal distance from previous prime (214157831) and next prime (214157833).

It is a junction number, because it is equal to n+sod(n) for n = 214157793 and 214157802.

It is not an unprimeable number, because it can be changed into a prime (214157831) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 89878 + ... + 92229.

It is an arithmetic number, because the mean of its divisors is an integer number (12975195).

Almost surely, 2214157832 is an apocalyptic number.

It is an amenable number.

214157832 is an abundant number, since it is smaller than the sum of its proper divisors (408651528).

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

214157832 is a wasteful number, since it uses less digits than its factorization.

214157832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182130 (or 182119 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 214157832 is about 14634.1324307251. The cubic root of 214157832 is about 598.2894166981.

The spelling of 214157832 in words is "two hundred fourteen million, one hundred fifty-seven thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 182107 364214 546321 728428 1092642 1274749 1456856 2185284 2549498 3824247 4370568 5098996 7648494 8923243 10197992 15296988 17846486 26769729 30593976 35692972 53539458 71385944 107078916 214157832