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20612232000 = 26355323461
BaseRepresentation
bin10011001100100101…
…011011001101000000
31222012111112212200000
4103030211123031000
5314203212411000
613245155400000
71326535036563
oct231445331500
958174485600
1020612232000
118818081a88
123bb2bb3000
131c36496ca9
14dd77344da
158098a3000
hex4cc95b340

20612232000 has 672 divisors, whose sum is σ = 79961865984. Its totient is φ = 5246208000.

The previous prime is 20612231999. The next prime is 20612232007. The reversal of 20612232000 is 23221602.

20612232000 is a `hidden beast` number, since 20 + 612 + 2 + 32 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20612232007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44711770 + ... + 44712230.

It is an arithmetic number, because the mean of its divisors is an integer number (118990872).

Almost surely, 220612232000 is an apocalyptic number.

20612232000 is a gapful number since it is divisible by the number (20) 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 20612232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39980932992).

20612232000 is an abundant number, since it is smaller than the sum of its proper divisors (59349633984).

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

20612232000 is an equidigital number, since it uses as much as digits as its factorization.

20612232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20612232000 its reverse (23221602), we get a palindrome (20635453602).

The spelling of 20612232000 in words is "twenty billion, six hundred twelve million, two hundred thirty-two thousand".