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1053224465 = 52910171917
BaseRepresentation
bin111110110001101…
…110111000010001
32201101211100100112
4332301232320101
54124111140330
6252302131105
735046155156
oct7661567021
92641740315
101053224465
114a0577147
12254880a95
1313a284157
149dc4422d
15626e6795
hex3ec6ee11

1053224465 has 16 divisors (see below), whose sum is σ = 1320414480. Its totient is φ = 805459200.

The previous prime is 1053224429. The next prime is 1053224467. The reversal of 1053224465 is 5644223501.

It can be written as a sum of positive squares in 8 ways, for example, as 14258176 + 1038966289 = 3776^2 + 32233^2 .

It is not a de Polignac number, because 1053224465 - 28 = 1053224209 is a prime.

It is a super-2 number, since 2×10532244652 = 2218563547349072450, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1053224467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21314 + ... + 50603.

It is an arithmetic number, because the mean of its divisors is an integer number (82525905).

Almost surely, 21053224465 is an apocalyptic number.

It is an amenable number.

1053224465 is a deficient number, since it is larger than the sum of its proper divisors (267190015).

1053224465 is a wasteful number, since it uses less digits than its factorization.

1053224465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72052.

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 1053224465 is about 32453.4199276440. The cubic root of 1053224465 is about 1017.4357172532.

Adding to 1053224465 its reverse (5644223501), we get a palindrome (6697447966).

The spelling of 1053224465 in words is "one billion, fifty-three million, two hundred twenty-four thousand, four hundred sixty-five".

Divisors: 1 5 29 101 145 505 2929 14645 71917 359585 2085593 7263617 10427965 36318085 210644893 1053224465