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232111000 = 23531121101
BaseRepresentation
bin11011101010110…
…11101110011000
3121011202110102201
431311123232120
5433410023000
635010535544
75515624312
oct1565335630
9534673381
10232111000
1110a025480
12658975b4
133911b0b4
1422b807b2
151559d96a
hexdd5bb98

232111000 has 64 divisors (see below), whose sum is σ = 592544160. Its totient is φ = 84400000.

The previous prime is 232110997. The next prime is 232111001. The reversal of 232111000 is 111232.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232111001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 450 + ... + 21550.

Almost surely, 2232111000 is an apocalyptic number.

232111000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296272080).

232111000 is an abundant number, since it is smaller than the sum of its proper divisors (360433160).

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

232111000 is a wasteful number, since it uses less digits than its factorization.

232111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21133 (or 21119 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 232111000 is about 15235.1895295070. The cubic root of 232111000 is about 614.5613458251.

Adding to 232111000 its reverse (111232), we get a palindrome (232222232).

The spelling of 232111000 in words is "two hundred thirty-two million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 21101 42202 84404 105505 168808 211010 232111 422020 464222 527525 844040 928444 1055050 1160555 1856888 2110100 2321110 2637625 4220200 4642220 5275250 5802775 9284440 10550500 11605550 21101000 23211100 29013875 46422200 58027750 116055500 232111000