Search a number
-
+
232007440 = 24572318013
BaseRepresentation
bin11011101010000…
…10011100010000
3121011120012101011
431311002130100
5433343214230
635004420304
75515013350
oct1565023420
9534505334
10232007440
11109a64695
1265847694
13390b2c12
1422b54b60
151557ce2a
hexdd42710

232007440 has 80 divisors (see below), whose sum is σ = 643315968. Its totient is φ = 76082688.

The previous prime is 232007387. The next prime is 232007443. The reversal of 232007440 is 44700232.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (232007443) 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, 3874 + ... + 21886.

Almost surely, 2232007440 is an apocalyptic number.

232007440 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 232007440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321657984).

232007440 is an abundant number, since it is smaller than the sum of its proper divisors (411308528).

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

232007440 is a wasteful number, since it uses less digits than its factorization.

232007440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18056 (or 18050 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 232007440 is about 15231.7904397349. The cubic root of 232007440 is about 614.4699334684.

Adding to 232007440 its reverse (44700232), we get a palindrome (276707672).

The spelling of 232007440 in words is "two hundred thirty-two million, seven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 560 644 805 920 1288 1610 1840 2576 3220 6440 12880 18013 36026 72052 90065 126091 144104 180130 252182 288208 360260 414299 504364 630455 720520 828598 1008728 1260910 1441040 1657196 2017456 2071495 2521820 2900093 3314392 4142990 5043640 5800186 6628784 8285980 10087280 11600372 14500465 16571960 23200744 29000930 33143920 46401488 58001860 116003720 232007440