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241122144 = 2535942571
BaseRepresentation
bin11100101111100…
…11101101100000
3121210201021101210
432113303231200
5443211402034
635532030120
75655335004
oct1627635540
9553637353
10241122144
1111411a6aa
1268902340
133ac54833
1424048704
151627d8e9
hexe5f3b60

241122144 has 48 divisors (see below), whose sum is σ = 643688640. Its totient is φ = 79009920.

The previous prime is 241122143. The next prime is 241122181. The reversal of 241122144 is 441221142.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 241122144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241122143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15622 + ... + 26949.

It is an arithmetic number, because the mean of its divisors is an integer number (13410180).

Almost surely, 2241122144 is an apocalyptic number.

241122144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

241122144 is an abundant number, since it is smaller than the sum of its proper divisors (402566496).

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

241122144 is a wasteful number, since it uses less digits than its factorization.

241122144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42643 (or 42635 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 241122144 is about 15528.1081912769. The cubic root of 241122144 is about 622.4135406768.

Adding to 241122144 its reverse (441221142), we get a palindrome (682343286).

The spelling of 241122144 in words is "two hundred forty-one million, one hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 42571 85142 127713 170284 255426 340568 510852 681136 1021704 1362272 2043408 2511689 4086816 5023378 7535067 10046756 15070134 20093512 30140268 40187024 60280536 80374048 120561072 241122144