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3223400420 = 225700123021
BaseRepresentation
bin1100000000100001…
…0010111111100100
322022122101201002202
43000020102333210
523100142303140
61251504354032
7142610310602
oct30010227744
98278351082
103223400420
111404586499
1275b615918
133c4a72936
1422815a872
1513cec1915
hexc0212fe4

3223400420 has 24 divisors (see below), whose sum is σ = 6770401848. Its totient is φ = 1289120000.

The previous prime is 3223400419. The next prime is 3223400459. The reversal of 3223400420 is 240043223.

It can be written as a sum of positive squares in 4 ways, for example, as 17123044 + 3206277376 = 4138^2 + 56624^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3223400392 and 3223400401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128510 + ... + 151530.

It is an arithmetic number, because the mean of its divisors is an integer number (282100077).

Almost surely, 23223400420 is an apocalyptic number.

It is an amenable number.

3223400420 is an abundant number, since it is smaller than the sum of its proper divisors (3547001428).

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

3223400420 is a wasteful number, since it uses less digits than its factorization.

3223400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30031 (or 30029 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3223400420 is about 56774.9981946279. The cubic root of 3223400420 is about 1477.1958743904.

Adding to 3223400420 its reverse (240043223), we get a palindrome (3463443643).

The spelling of 3223400420 in words is "three billion, two hundred twenty-three million, four hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 7001 14002 23021 28004 35005 46042 70010 92084 115105 140020 230210 460420 161170021 322340042 644680084 805850105 1611700210 3223400420