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231000024 = 233191134483
BaseRepresentation
bin11011100010011…
…00011111011000
3121002200000110110
431301030133120
5433114000044
634531044320
75503316313
oct1561143730
9532600413
10231000024
11109436812
12654406a0
1338b1c508
142297197a
151542e6b9
hexdc4c7d8

231000024 has 64 divisors (see below), whose sum is σ = 613411200. Its totient is φ = 72285696.

The previous prime is 231000013. The next prime is 231000041. The reversal of 231000024 is 420000132.

It is a super-2 number, since 2×2310000242 = 106722022176001152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 230999973 and 231000009.

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, 49287 + ... + 53769.

It is an arithmetic number, because the mean of its divisors is an integer number (9584550).

Almost surely, 2231000024 is an apocalyptic number.

231000024 is a gapful number since it is divisible by the number (24) 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 231000024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306705600).

231000024 is an abundant number, since it is smaller than the sum of its proper divisors (382411176).

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

231000024 is a wasteful number, since it uses less digits than its factorization.

231000024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4624 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 231000024 is about 15198.6849431127. The cubic root of 231000024 is about 613.5792652157.

Adding to 231000024 its reverse (420000132), we get a palindrome (651000156).

The spelling of 231000024 in words is "two hundred thirty-one million, twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 113 114 152 226 228 339 452 456 678 904 1356 2147 2712 4294 4483 6441 8588 8966 12882 13449 17176 17932 25764 26898 35864 51528 53796 85177 107592 170354 255531 340708 506579 511062 681416 1013158 1022124 1519737 2026316 2044248 3039474 4052632 6078948 9625001 12157896 19250002 28875003 38500004 57750006 77000008 115500012 231000024