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232430440 = 23511539967
BaseRepresentation
bin11011101101010…
…01101101101000
3121012100200121211
431312221231220
5434000233230
635021442504
75521424524
oct1566515550
9535320554
10232430440
1110a223480
1265a10434
1339200608
1422c24d84
151561342a
hexdda9b68

232430440 has 64 divisors (see below), whose sum is σ = 581333760. Its totient is φ = 82917120.

The previous prime is 232430431. The next prime is 232430449. The reversal of 232430440 is 44034232.

It is an interprime number because it is at equal distance from previous prime (232430431) and next prime (232430449).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (232430449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18337 + ... + 28303.

It is an arithmetic number, because the mean of its divisors is an integer number (9083340).

Almost surely, 2232430440 is an apocalyptic number.

232430440 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 232430440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290666880).

232430440 is an abundant number, since it is smaller than the sum of its proper divisors (348903320).

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

232430440 is a wasteful number, since it uses less digits than its factorization.

232430440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10042 (or 10038 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 232430440 is about 15245.6695490884. The cubic root of 232430440 is about 614.8431441690.

Adding to 232430440 its reverse (44034232), we get a palindrome (276464672).

The spelling of 232430440 in words is "two hundred thirty-two million, four hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 212 220 265 424 440 530 583 1060 1166 2120 2332 2915 4664 5830 9967 11660 19934 23320 39868 49835 79736 99670 109637 199340 219274 398680 438548 528251 548185 877096 1056502 1096370 2113004 2192740 2641255 4226008 4385480 5282510 5810761 10565020 11621522 21130040 23243044 29053805 46486088 58107610 116215220 232430440