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20220951000 = 2335347612351
BaseRepresentation
bin10010110101010000…
…110011100111011000
31221012020021202001010
4102311100303213120
5312403030413000
613142301053520
71314044150625
oct226520634730
957166252033
1020220951000
118637221858
123b03b572a0
131ba33b9183
14d9b79d34c
157d5362d50
hex4b54339d8

20220951000 has 256 divisors, whose sum is σ = 65515806720. Its totient is φ = 5188800000.

The previous prime is 20220950989. The next prime is 20220951041. The reversal of 20220951000 is 15902202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8599825 + ... + 8602175.

It is an arithmetic number, because the mean of its divisors is an integer number (255921120).

Almost surely, 220220951000 is an apocalyptic number.

20220951000 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 20220951000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32757903360).

20220951000 is an abundant number, since it is smaller than the sum of its proper divisors (45294855720).

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

20220951000 is a wasteful number, since it uses less digits than its factorization.

20220951000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The spelling of 20220951000 in words is "twenty billion, two hundred twenty million, nine hundred fifty-one thousand".