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232400412020 = 225723611183181
BaseRepresentation
bin1101100001110000100…
…1001101110101110100
3211012212101101011010102
43120130021031311310
512301424001141040
6254432511213232
722535045623430
oct3303411156564
9735771334112
10232400412020
118a618a79317
123905a517218
1318bb8ab55ca
14b3692559c0
1560a2ba6515
hex361c24dd74

232400412020 has 96 divisors (see below), whose sum is σ = 591553138176. Its totient is φ = 74966284800.

The previous prime is 232400411987. The next prime is 232400412073. The reversal of 232400412020 is 20214004232.

232400412020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 232400411983 and 232400412001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395171 + ... + 788010.

It is an arithmetic number, because the mean of its divisors is an integer number (6162011856).

Almost surely, 2232400412020 is an apocalyptic number.

232400412020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232400412020 is an abundant number, since it is smaller than the sum of its proper divisors (359152726156).

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

232400412020 is a wasteful number, since it uses less digits than its factorization.

232400412020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183281 (or 1183279 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 232400412020 its reverse (20214004232), we get a palindrome (252614416252).

The spelling of 232400412020 in words is "two hundred thirty-two billion, four hundred million, four hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 61 70 92 115 122 140 161 230 244 305 322 427 460 610 644 805 854 1220 1403 1610 1708 2135 2806 3220 4270 5612 7015 8540 9821 14030 19642 28060 39284 49105 98210 196420 1183181 2366362 4732724 5915905 8282267 11831810 16564534 23663620 27213163 33129068 41411335 54426326 72174041 82822670 108852652 136065815 144348082 165645340 190492141 272131630 288696164 360870205 380984282 505218287 544263260 721740410 761968564 952460705 1010436574 1443480820 1660002943 1904921410 2020873148 2526091435 3320005886 3809842820 5052182870 6640011772 8300014715 10104365740 11620020601 16600029430 23240041202 33200058860 46480082404 58100103005 116200206010 232400412020