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822049201 = 10143318797
BaseRepresentation
bin110000111111110…
…111100110110001
32010021211102111201
4300333313212301
53140421033301
6213323211201
726241205621
oct6077674661
92107742451
10822049201
11392030806
121ab376b01
13101402c5c
147b268881
154c280201
hex30ff79b1

822049201 has 8 divisors (see below), whose sum is σ = 832149864. Its totient is φ = 811987200.

The previous prime is 822049199. The next prime is 822049211. The reversal of 822049201 is 102940228.

It can be written as a sum of positive squares in 4 ways, for example, as 295805601 + 526243600 = 17199^2 + 22940^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 822049201 - 21 = 822049199 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 822049201.

It is not an unprimeable number, because it can be changed into a prime (822049211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34335 + ... + 53131.

It is an arithmetic number, because the mean of its divisors is an integer number (104018733).

Almost surely, 2822049201 is an apocalyptic number.

It is an amenable number.

822049201 is a deficient number, since it is larger than the sum of its proper divisors (10100663).

822049201 is a wasteful number, since it uses less digits than its factorization.

822049201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19331.

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 822049201 is about 28671.4004017941. The cubic root of 822049201 is about 936.7692015231.

Adding to 822049201 its reverse (102940228), we get a palindrome (924989429).

The spelling of 822049201 in words is "eight hundred twenty-two million, forty-nine thousand, two hundred one".

Divisors: 1 101 433 18797 43733 1898497 8139101 822049201