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332220420 = 223357179491
BaseRepresentation
bin10011110011010…
…100100000000100
3212011010112202000
4103303110200010
51140022023140
652544345300
711142553440
oct2363244004
9764115660
10332220420
11160591134
1293315230
1353a9c63c
143219d820
151e275a30
hex13cd4804

332220420 has 192 divisors, whose sum is σ = 1190246400. Its totient is φ = 75358080.

The previous prime is 332220401. The next prime is 332220437. The reversal of 332220420 is 24022233.

It is a super-2 number, since 2×3322204202 = 220740814929952800, which contains 22 as substring.

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 = 332220393 and 332220402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 676375 + ... + 676865.

It is an arithmetic number, because the mean of its divisors is an integer number (6199200).

Almost surely, 2332220420 is an apocalyptic number.

332220420 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 332220420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595123200).

332220420 is an abundant number, since it is smaller than the sum of its proper divisors (858025980).

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

332220420 is a wasteful number, since it uses less digits than its factorization.

332220420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 687 counting only the distinct ones).

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

The square root of 332220420 is about 18226.9147142351. The cubic root of 332220420 is about 692.5887629664.

Adding to 332220420 its reverse (24022233), we get a palindrome (356242653).

The spelling of 332220420 in words is "three hundred thirty-two million, two hundred twenty thousand, four hundred twenty".