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3023220420 = 223251129371423
BaseRepresentation
bin1011010000110010…
…1010111011000100
321210200201111202200
42310030222323010
522142421023140
61215554034500
7134626643463
oct26414527304
97720644680
103023220420
111311590280
12704578a30
1339245472c
1420972c9da
1512a62e030
hexb432aec4

3023220420 has 288 divisors, whose sum is σ = 10636254720. Its totient is φ = 688020480.

The previous prime is 3023220413. The next prime is 3023220443. The reversal of 3023220420 is 240223203.

3023220420 is a `hidden beast` number, since 3 + 0 + 23 + 220 + 420 = 666.

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 = 3023220393 and 3023220402.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2123829 + ... + 2125251.

It is an arithmetic number, because the mean of its divisors is an integer number (36931440).

Almost surely, 23023220420 is an apocalyptic number.

3023220420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3023220420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5318127360).

3023220420 is an abundant number, since it is smaller than the sum of its proper divisors (7613034300).

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

3023220420 is a wasteful number, since it uses less digits than its factorization.

3023220420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3023220420 is about 54983.8196199573. The cubic root of 3023220420 is about 1445.9610820377.

Adding to 3023220420 its reverse (240223203), we get a palindrome (3263443623).

The spelling of 3023220420 in words is "three billion, twenty-three million, two hundred twenty thousand, four hundred twenty".