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232414444240 = 245112063128021
BaseRepresentation
bin1101100001110011111…
…0101111101011010000
3211012220100210001201021
43120130332233223100
512301441044203430
6254434132045224
722535306115616
oct3303476575320
9735810701637
10232414444240
118a6259929a0
1239063163814
1318bbb9895b4
14b36b0696b6
1560a402907a
hex361cfafad0

232414444240 has 80 divisors (see below), whose sum is σ = 589777894656. Its totient is φ = 84472716800.

The previous prime is 232414444219. The next prime is 232414444291. The reversal of 232414444240 is 42444414232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 232414444196 and 232414444205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1751430 + ... + 1879450.

Almost surely, 2232414444240 is an apocalyptic number.

232414444240 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 232414444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294888947328).

232414444240 is an abundant number, since it is smaller than the sum of its proper divisors (357363450416).

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

232414444240 is a wasteful number, since it uses less digits than its factorization.

232414444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130108 (or 130102 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 232414444240 its reverse (42444414232), we get a palindrome (274858858472).

The spelling of 232414444240 in words is "two hundred thirty-two billion, four hundred fourteen million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2063 4126 8252 10315 16504 20630 22693 33008 41260 45386 82520 90772 113465 128021 165040 181544 226930 256042 363088 453860 512084 640105 907720 1024168 1280210 1408231 1815440 2048336 2560420 2816462 5120840 5632924 7041155 10241680 11265848 14082310 22531696 28164620 56329240 112658480 264107323 528214646 1056429292 1320536615 2112858584 2641073230 2905180553 4225717168 5282146460 5810361106 10564292920 11620722212 14525902765 21128585840 23241444424 29051805530 46482888848 58103611060 116207222120 232414444240