Search a number
-
+
232242144 = 2536593671
BaseRepresentation
bin11011101011110…
…11101111100000
3121012000010022220
431311323233200
5433423222034
635013431040
75520011541
oct1565735740
9535003286
10232242144
1110a104a62
126593b480
13391659b4
1422bb64c8
15155c7749
hexdd7bbe0

232242144 has 48 divisors (see below), whose sum is σ = 610727040. Its totient is φ = 77275520.

The previous prime is 232242139. The next prime is 232242169. The reversal of 232242144 is 441242232.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 61429 + ... + 65099.

It is an arithmetic number, because the mean of its divisors is an integer number (12723480).

Almost surely, 2232242144 is an apocalyptic number.

232242144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232242144 is an abundant number, since it is smaller than the sum of its proper divisors (378484896).

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

232242144 is a wasteful number, since it uses less digits than its factorization.

232242144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4343 (or 4335 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 232242144 is about 15239.4929049493. The cubic root of 232242144 is about 614.6770675543.

Adding to 232242144 its reverse (441242232), we get a palindrome (673484376).

The spelling of 232242144 in words is "two hundred thirty-two million, two hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 659 1318 1977 2636 3671 3954 5272 7342 7908 10544 11013 14684 15816 21088 22026 29368 31632 44052 58736 63264 88104 117472 176208 352416 2419189 4838378 7257567 9676756 14515134 19353512 29030268 38707024 58060536 77414048 116121072 232242144