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231503440 = 2457273809
BaseRepresentation
bin11011100110001…
…11011001010000
3121010121121000111
431303013121100
5433231102230
634545531104
75510514100
oct1563073120
9533547014
10231503440
1110974aa63
1265643a94
1338c676ac
1422a63200
15154cd92a
hexdcc7650

231503440 has 120 divisors (see below), whose sum is σ = 635483880. Its totient is φ = 78188544.

The previous prime is 231503431. The next prime is 231503449. The reversal of 231503440 is 44305132.

231503440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (231503431) and next prime (231503449).

It can be written as a sum of positive squares in 4 ways, for example, as 67765824 + 163737616 = 8232^2 + 12796^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231503449) 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, 285756 + ... + 286564.

It is an arithmetic number, because the mean of its divisors is an integer number (5295699).

Almost surely, 2231503440 is an apocalyptic number.

231503440 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 231503440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317741940).

231503440 is an abundant number, since it is smaller than the sum of its proper divisors (403980440).

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

231503440 is a wasteful number, since it uses less digits than its factorization.

231503440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 231503440 is about 15215.2370996971. The cubic root of 231503440 is about 614.0246641693.

Adding to 231503440 its reverse (44305132), we get a palindrome (275808572).

The spelling of 231503440 in words is "two hundred thirty-one million, five hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 73 80 98 112 140 146 196 245 280 292 365 392 490 511 560 584 730 784 809 980 1022 1168 1460 1618 1960 2044 2555 2920 3236 3577 3920 4045 4088 5110 5663 5840 6472 7154 8090 8176 10220 11326 12944 14308 16180 17885 20440 22652 28315 28616 32360 35770 39641 40880 45304 56630 57232 59057 64720 71540 79282 90608 113260 118114 143080 158564 198205 226520 236228 286160 295285 317128 396410 413399 453040 472456 590570 634256 792820 826798 944912 1181140 1585640 1653596 2066995 2362280 2893793 3171280 3307192 4133990 4724560 5787586 6614384 8267980 11575172 14468965 16535960 23150344 28937930 33071920 46300688 57875860 115751720 231503440