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332233322122020 = 22351131521172318089
BaseRepresentation
bin100101110001010100001100…
…1001001011100101100100100
31121120100012021110020001212010
41023202220121021130230210
5322021302320430401040
63134333514155154220
7126660031303040214
oct11342503111345444
91546305243201763
10332233322122020
11969503a703aa80
1231319063445970
131134c610b18c57
145c08270096244
152862240185e80
hex12e2a1925cb24

332233322122020 has 384 divisors, whose sum is σ = 1050235846410240. Its totient is φ = 77744249856000.

The previous prime is 332233322122001. The next prime is 332233322122099. The reversal of 332233322122020 is 20221223332233.

It is a super-2 number, since 2×3322333221220202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18366585136 + ... + 18366603224.

It is an arithmetic number, because the mean of its divisors is an integer number (2734989183360).

Almost surely, 2332233322122020 is an apocalyptic number.

332233322122020 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 332233322122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525117923205120).

332233322122020 is an abundant number, since it is smaller than the sum of its proper divisors (718002524288220).

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

332233322122020 is a wasteful number, since it uses less digits than its factorization.

332233322122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20387 (or 20385 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 332233322122020 its reverse (20221223332233), we get a palindrome (352454545454253).

The spelling of 332233322122020 in words is "three hundred thirty-two trillion, two hundred thirty-three billion, three hundred twenty-two million, one hundred twenty-two thousand, twenty".