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214236132 = 2231111171453
BaseRepresentation
bin11001100010011…
…11101111100100
3112221010022201120
430301033233210
5414321024012
633131453540
75210656065
oct1461175744
9487108646
10214236132
11aaa26860
125b8b72b0
1335500056
142064a56c
1513c1c58c
hexcc4fbe4

214236132 has 48 divisors (see below), whose sum is σ = 546192192. Its totient is φ = 64817280.

The previous prime is 214236131. The next prime is 214236151. The reversal of 214236132 is 231632412.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (214236131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146718 + ... + 148170.

It is an arithmetic number, because the mean of its divisors is an integer number (11379004).

Almost surely, 2214236132 is an apocalyptic number.

214236132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214236132 is an abundant number, since it is smaller than the sum of its proper divisors (331956060).

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

214236132 is a wasteful number, since it uses less digits than its factorization.

214236132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2586 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 214236132 is about 14636.8074387825. The cubic root of 214236132 is about 598.3623229791.

Adding to 214236132 its reverse (231632412), we get a palindrome (445868544).

The spelling of 214236132 in words is "two hundred fourteen million, two hundred thirty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1117 1453 2234 2906 3351 4359 4468 5812 6702 8718 12287 13404 15983 17436 24574 31966 36861 47949 49148 63932 73722 95898 147444 191796 1623001 3246002 4869003 6492004 9738006 17853011 19476012 35706022 53559033 71412044 107118066 214236132