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20246112000 = 28345373107
BaseRepresentation
bin10010110110110000…
…110010011100000000
31221020222122001110000
4102312300302130000
5312431001041000
613145000240000
71314501053412
oct226660623400
957228561400
1020246112000
11864a447674
123b10470000
131ba868873a
14da0c6c9b2
157d7683000
hex4b6c32700

20246112000 has 720 divisors, whose sum is σ = 77087922912. Its totient is φ = 5275238400.

The previous prime is 20246111999. The next prime is 20246112001. The reversal of 20246112000 is 21164202.

20246112000 is a `hidden beast` number, since 2 + 0 + 2 + 461 + 1 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20246111999) and next prime (20246112001).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×202461120002 (a number of 21 digits) contains 22 as substring.

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 (20246112001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 189215947 + ... + 189216053.

Almost surely, 220246112000 is an apocalyptic number.

20246112000 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 20246112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38543961456).

20246112000 is an abundant number, since it is smaller than the sum of its proper divisors (56841810912).

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

20246112000 is an equidigital number, since it uses as much as digits as its factorization.

20246112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20246112000 its reverse (21164202), we get a palindrome (20267276202).

The spelling of 20246112000 in words is "twenty billion, two hundred forty-six million, one hundred twelve thousand".