[go: up one dir, main page]

Search a number
-
+
232142240 = 25511131899
BaseRepresentation
bin11011101011000…
…11010110100000
3121011211001021202
431311203112200
5433412022430
635011340332
75516114351
oct1565432640
9534731252
10232142240
1110a0469a0
12658b16a8
133912c395
1422b8bd28
15155a7d45
hexdd635a0

232142240 has 48 divisors (see below), whose sum is σ = 598298400. Its totient is φ = 84414720.

The previous prime is 232142237. The next prime is 232142297. The reversal of 232142240 is 42241232.

232142240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64190 + ... + 67709.

It is an arithmetic number, because the mean of its divisors is an integer number (12464550).

Almost surely, 2232142240 is an apocalyptic number.

232142240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232142240 is an abundant number, since it is smaller than the sum of its proper divisors (366156160).

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

232142240 is a wasteful number, since it uses less digits than its factorization.

232142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131925 (or 131917 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 232142240 is about 15236.2147530153. The cubic root of 232142240 is about 614.5889160181.

Adding to 232142240 its reverse (42241232), we get a palindrome (274383472).

The spelling of 232142240 in words is "two hundred thirty-two million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 131899 263798 527596 659495 1055192 1318990 1450889 2110384 2637980 2901778 4220768 5275960 5803556 7254445 10551920 11607112 14508890 21103840 23214224 29017780 46428448 58035560 116071120 232142240