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214069032 = 233217174893
BaseRepresentation
bin11001100001001…
…10111100101000
3112220210211111200
430300212330220
5414300202112
633124124200
75206361652
oct1460467450
9486724450
10214069032
11aa922261
125b836660
1335471c88
14206056d2
1513bd7cdc
hexcc26f28

214069032 has 48 divisors (see below), whose sum is σ = 613877940. Its totient is φ = 67158528.

The previous prime is 214069003. The next prime is 214069057. The reversal of 214069032 is 230960412.

It can be written as a sum of positive squares in 2 ways, for example, as 163175076 + 50893956 = 12774^2 + 7134^2 .

It is a super-2 number, since 2×2140690322 = 91651100922834048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214068987 and 214069005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86223 + ... + 88670.

Almost surely, 2214069032 is an apocalyptic number.

It is an amenable number.

214069032 is an abundant number, since it is smaller than the sum of its proper divisors (399808908).

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

214069032 is a wasteful number, since it uses less digits than its factorization.

214069032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174922 (or 174915 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 214069032 is about 14631.0981132655. The cubic root of 214069032 is about 598.2067122046.

The spelling of 214069032 in words is "two hundred fourteen million, sixty-nine thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 174893 349786 524679 699572 1049358 1399144 1574037 2098716 2973181 3148074 4197432 5946362 6296148 8919543 11892724 12592296 17839086 23785448 26758629 35678172 53517258 71356344 107034516 214069032