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541000224 = 25321998867
BaseRepresentation
bin100000001111110…
…000001000100000
31101200222122210100
4200033300020200
52101444001344
6125403302400
716256266062
oct4017601040
91350878710
10541000224
11258420526
1213121aa00
138810bc9b
1451bc9732
1532766569
hex203f0220

541000224 has 72 divisors (see below), whose sum is σ = 1619457840. Its totient is φ = 170840448.

The previous prime is 541000223. The next prime is 541000241. The reversal of 541000224 is 422000145.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 541000197 and 541000206.

It is not an unprimeable number, because it can be changed into a prime (541000223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43962 + ... + 54905.

It is an arithmetic number, because the mean of its divisors is an integer number (22492470).

Almost surely, 2541000224 is an apocalyptic number.

It is an amenable number.

541000224 is an abundant number, since it is smaller than the sum of its proper divisors (1078457616).

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

541000224 is a wasteful number, since it uses less digits than its factorization.

541000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98902 (or 98891 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 541000224 is about 23259.4115144816. The cubic root of 541000224 is about 814.8277573955.

Adding to 541000224 its reverse (422000145), we get a palindrome (963000369).

The spelling of 541000224 in words is "five hundred forty-one million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 98867 197734 296601 395468 593202 790936 889803 1186404 1581872 1779606 1878473 2372808 3163744 3559212 3756946 4745616 5635419 7118424 7513892 9491232 11270838 14236848 15027784 16906257 22541676 28473696 30055568 33812514 45083352 60111136 67625028 90166704 135250056 180333408 270500112 541000224