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232430411400 = 233521135216729
BaseRepresentation
bin1101100001110111101…
…1101001111010001000
3211012221110211021112120
43120131323221322020
512302004141131100
6254435502211240
722535561620245
oct3303573517210
9735843737476
10232430411400
118a6339a92a0
1239068583b20
1318bc208a215
14b36d2245cc
1560a56300a0
hex361dee9e88

232430411400 has 96 divisors (see below), whose sum is σ = 786037413600. Its totient is φ = 56346764800.

The previous prime is 232430411377. The next prime is 232430411401. The reversal of 232430411400 is 4114034232.

It is a super-2 number, since 2×2324304114002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (232430411401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17601765 + ... + 17614964.

It is an arithmetic number, because the mean of its divisors is an integer number (8187889725).

Almost surely, 2232430411400 is an apocalyptic number.

232430411400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232430411400 is an abundant number, since it is smaller than the sum of its proper divisors (553607002200).

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

232430411400 is a wasteful number, since it uses less digits than its factorization.

232430411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35216759 (or 35216750 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 232430411400 its reverse (4114034232), we get a palindrome (236544445632).

The spelling of 232430411400 in words is "two hundred thirty-two billion, four hundred thirty million, four hundred eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 35216729 70433458 105650187 140866916 176083645 211300374 281733832 352167290 387384019 422600748 528250935 704334580 774768038 845201496 880418225 1056501870 1162152057 1408669160 1549536076 1760836450 1936920095 2113003740 2324304114 2641254675 3099072152 3521672900 3873840190 4226007480 4648608228 5282509350 5810760285 7043345800 7747680380 9297216456 9684600475 10565018700 11621520570 15495360760 19369200950 21130037400 23243041140 29053801425 38738401900 46486082280 58107602850 77476803800 116215205700 232430411400