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224022400249 is a prime number
BaseRepresentation
bin1101000010100011000…
…1101000110011111001
3210102020111200001120011
43100220301220303321
512132244213301444
6250525305301521
722120324661224
oct3205061506371
9712214601504
10224022400249
118700989404a
12375007948a1
131818215c2ab
14abb26ac5bb
155c623dc734
hex3428c68cf9

224022400249 has 2 divisors, whose sum is σ = 224022400250. Its totient is φ = 224022400248.

The previous prime is 224022400213. The next prime is 224022400417. The reversal of 224022400249 is 942004220422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 223887956224 + 134444025 = 473168^2 + 11595^2 .

It is a cyclic number.

It is not a de Polignac number, because 224022400249 - 29 = 224022399737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 224022400249.

It is not a weakly prime, because it can be changed into another prime (224022440249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112011200124 + 112011200125.

It is an arithmetic number, because the mean of its divisors is an integer number (112011200125).

Almost surely, 2224022400249 is an apocalyptic number.

It is an amenable number.

224022400249 is a deficient number, since it is larger than the sum of its proper divisors (1).

224022400249 is an equidigital number, since it uses as much as digits as its factorization.

224022400249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18432, while the sum is 31.

The spelling of 224022400249 in words is "two hundred twenty-four billion, twenty-two million, four hundred thousand, two hundred forty-nine".