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241224090 = 23537217319
BaseRepresentation
bin11100110000011…
…00100110011010
3121210220110020120
432120030212122
5443223132330
635534134110
75656241142
oct1630144632
9553813216
10241224090
1111418a258
1268951336
133ac8c063
1424073922
151629dc10
hexe60c99a

241224090 has 32 divisors (see below), whose sum is σ = 594587520. Its totient is φ = 62587584.

The previous prime is 241224083. The next prime is 241224097. The reversal of 241224090 is 90422142.

241224090 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (241224083) and next prime (241224097).

It is a self number, because there is not a number n which added to its sum of digits gives 241224090.

It is not an unprimeable number, because it can be changed into a prime (241224097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107550 + ... + 109769.

It is an arithmetic number, because the mean of its divisors is an integer number (18580860).

Almost surely, 2241224090 is an apocalyptic number.

241224090 is an abundant number, since it is smaller than the sum of its proper divisors (353363430).

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

241224090 is a wasteful number, since it uses less digits than its factorization.

241224090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217366.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 241224090 is about 15531.3904722018. The cubic root of 241224090 is about 622.5012467516.

The spelling of 241224090 in words is "two hundred forty-one million, two hundred twenty-four thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 217319 434638 651957 1086595 1303914 2173190 3259785 6519570 8040803 16081606 24122409 40204015 48244818 80408030 120612045 241224090