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214269160 = 23572109321
BaseRepresentation
bin11001100010101…
…11110011101000
3112221012000000211
430301113303220
5414323103120
633132310504
75211154300
oct1461276350
9487160024
10214269160
11aaa49656
125b912434
13355120b1
1420658600
1513c2725a
hexcc57ce8

214269160 has 48 divisors (see below), whose sum is σ = 560821860. Its totient is φ = 73463040.

The previous prime is 214269119. The next prime is 214269161. The reversal of 214269160 is 61962412.

It can be written as a sum of positive squares in 2 ways, for example, as 211586116 + 2683044 = 14546^2 + 1638^2 .

It is a super-2 number, since 2×2142691602 = 91822545854211200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214269161) 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, 52701 + ... + 56620.

Almost surely, 2214269160 is an apocalyptic number.

214269160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214269160 is an abundant number, since it is smaller than the sum of its proper divisors (346552700).

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

214269160 is a wasteful number, since it uses less digits than its factorization.

214269160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109346 (or 109335 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 214269160 is about 14637.9356468048. The cubic root of 214269160 is about 598.3930705085.

The spelling of 214269160 in words is "two hundred fourteen million, two hundred sixty-nine thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 109321 218642 437284 546605 765247 874568 1093210 1530494 2186420 3060988 3826235 4372840 5356729 6121976 7652470 10713458 15304940 21426916 26783645 30609880 42853832 53567290 107134580 214269160