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332420632230420 = 22325231012573139883
BaseRepresentation
bin100101110010101011011010…
…1101100110011101000010100
31121121000002202102020110122100
41023211112311230303220110
5322032334423322333140
63134555532533002100
7130006412104506546
oct11345266554635024
91547002672213570
10332420632230420
1196a12886784858
1231349419183330
1311364192093216
145c1335ca93696
152867054512530
hex12e55b5b33a14

332420632230420 has 576 divisors, whose sum is σ = 1070252243633664. Its totient is φ = 83349562982400.

The previous prime is 332420632230413. The next prime is 332420632230437. The reversal of 332420632230420 is 24032236024233.

332420632230420 is a `hidden beast` number, since 3 + 3 + 2 + 4 + 2 + 0 + 6 + 3 + 223 + 0 + 420 = 666.

It is a super-2 number, since 2×3324206322304202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33635594799 + ... + 33635604681.

It is an arithmetic number, because the mean of its divisors is an integer number (1858076811864).

Almost surely, 2332420632230420 is an apocalyptic number.

332420632230420 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 332420632230420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535126121816832).

332420632230420 is an abundant number, since it is smaller than the sum of its proper divisors (737831611403244).

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

332420632230420 is a wasteful number, since it uses less digits than its factorization.

332420632230420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10592 (or 10587 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 332420632230420 its reverse (24032236024233), we get a palindrome (356452868254653).

The spelling of 332420632230420 in words is "three hundred thirty-two trillion, four hundred twenty billion, six hundred thirty-two million, two hundred thirty thousand, four hundred twenty".