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232201133009 = 1729538886721
BaseRepresentation
bin1101100001000001000…
…1000001101111010001
3211012100111101201201022
43120100101001233101
512301021442224014
6254401032045225
722530106031156
oct3302021015721
9735314351638
10232201133009
118a52653901a
1239003833815
1318b86721531
14b34a9c022d
156090440a8e
hex3610441bd1

232201133009 has 16 divisors (see below), whose sum is σ = 259136813520. Its totient is φ = 207025029120.

The previous prime is 232201132981. The next prime is 232201133041. The reversal of 232201133009 is 900331102232.

It can be written as a sum of positive squares in 8 ways, for example, as 24601600 + 232176531409 = 4960^2 + 481847^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-232201133009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (232201103009) 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, 4417232 + ... + 4469489.

It is an arithmetic number, because the mean of its divisors is an integer number (16196050845).

Almost surely, 2232201133009 is an apocalyptic number.

232201133009 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

232201133009 is a deficient number, since it is larger than the sum of its proper divisors (26935680511).

232201133009 is a wasteful number, since it uses less digits than its factorization.

232201133009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8886820.

The product of its (nonzero) digits is 1944, while the sum is 26.

The spelling of 232201133009 in words is "two hundred thirty-two billion, two hundred one million, one hundred thirty-three thousand, nine".

Divisors: 1 17 29 53 493 901 1537 26129 8886721 151074257 257714909 470996213 4381153453 8006935621 13658890177 232201133009