Search a number
-
+
224456016400357 = 7597117911427369
BaseRepresentation
bin110011000010010000111101…
…001000000000111111100101
31002102201210012201002121111211
4303002100331020000333211
5213404441410144302412
62113213400451431421
765164261220652250
oct6302207510007745
91072653181077454
10224456016400357
1165578297779aa5
12212110b58b5571
13983215b037cb1
143d5da2cb52097
151ae3939445ca7
hexcc243d200fe5

224456016400357 has 32 divisors (see below), whose sum is σ = 264558577766400. Its totient is φ = 186455359036800.

The previous prime is 224456016400279. The next prime is 224456016400361. The reversal of 224456016400357 is 753004610654422.

It is not a de Polignac number, because 224456016400357 - 211 = 224456016398309 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 224456016400357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224456016400157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524990569 + ... + 525417937.

It is an arithmetic number, because the mean of its divisors is an integer number (8267455555200).

Almost surely, 2224456016400357 is an apocalyptic number.

It is an amenable number.

224456016400357 is a deficient number, since it is larger than the sum of its proper divisors (40102561366043).

224456016400357 is a wasteful number, since it uses less digits than its factorization.

224456016400357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445417.

The product of its (nonzero) digits is 4838400, while the sum is 49.

The spelling of 224456016400357 in words is "two hundred twenty-four trillion, four hundred fifty-six billion, sixteen million, four hundred thousand, three hundred fifty-seven".

Divisors: 1 7 59 71 413 497 4189 17911 29323 125377 427369 1056749 1271681 2991583 7397243 8901767 25214771 30343199 75029179 176503397 212402393 525204253 1790248741 7654606159 12531741187 53582243113 451621763381 543477037289 3161352343667 3804339261023 32065145200051 224456016400357