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1828222401 = 314918772179
BaseRepresentation
bin110110011111000…
…0111010111000001
311201102010022122210
41230332013113001
512221011104101
6501225052333
763206430315
oct15476072701
94642108583
101828222401
11858a90605
124303270a9
132319c1c05
14134b41b45
15aa7807d6
hex6cf875c1

1828222401 has 16 divisors (see below), whose sum is σ = 2456424000. Its totient is φ = 1209434688.

The previous prime is 1828222343. The next prime is 1828222421. The reversal of 1828222401 is 1042228281.

It is not a de Polignac number, because 1828222401 - 26 = 1828222337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1828222421) 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, 837930 + ... + 840108.

It is an arithmetic number, because the mean of its divisors is an integer number (153526500).

Almost surely, 21828222401 is an apocalyptic number.

It is an amenable number.

1828222401 is a deficient number, since it is larger than the sum of its proper divisors (628201599).

1828222401 is a wasteful number, since it uses less digits than its factorization.

1828222401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208.

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 1828222401 is about 42757.7174437551. The cubic root of 1828222401 is about 1222.7650268283.

The spelling of 1828222401 in words is "one billion, eight hundred twenty-eight million, two hundred twenty-two thousand, four hundred one".

Divisors: 1 3 149 447 1877 2179 5631 6537 279673 324671 839019 974013 4089983 12269949 609407467 1828222401