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20297358000 = 2433531973271
BaseRepresentation
bin10010111001110100…
…010001101010110000
31221101120001121202000
4102321310101222300
5313032110424000
613154030454000
71315662460563
oct227164215260
957346047660
1020297358000
118676369537
123b25664300
131bb618c00a
14da79ac4da
157dbe07000
hex4b9d11ab0

20297358000 has 640 divisors, whose sum is σ = 77871206400. Its totient is φ = 5038848000.

The previous prime is 20297357989. The next prime is 20297358023. The reversal of 20297358000 is 85379202.

It is a happy number.

20297358000 is a `hidden beast` number, since 2 + 0 + 2 + 9 + 73 + 580 + 0 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 74897865 + ... + 74898135.

It is an arithmetic number, because the mean of its divisors is an integer number (121673760).

Almost surely, 220297358000 is an apocalyptic number.

20297358000 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 20297358000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38935603200).

20297358000 is an abundant number, since it is smaller than the sum of its proper divisors (57573848400).

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

20297358000 is a wasteful number, since it uses less digits than its factorization.

20297358000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 20297358000 in words is "twenty billion, two hundred ninety-seven million, three hundred fifty-eight thousand".