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20237541000 = 2335324172791
BaseRepresentation
bin10010110110010000…
…000101111010001000
31221020101111121020120
4102312100011322020
5312421302303000
613144052423240
71314335155155
oct226620057210
957211447216
1020237541000
1186456230a6
123b09617b20
131ba6977441
14d9da7b22c
157d6a3d6a0
hex4b6405e88

20237541000 has 128 divisors (see below), whose sum is σ = 63189884160. Its totient is φ = 5392512000.

The previous prime is 20237540977. The next prime is 20237541029. The reversal of 20237541000 is 14573202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7249605 + ... + 7252395.

It is an arithmetic number, because the mean of its divisors is an integer number (493670970).

Almost surely, 220237541000 is an apocalyptic number.

20237541000 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 20237541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31594942080).

20237541000 is an abundant number, since it is smaller than the sum of its proper divisors (42952343160).

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

20237541000 is a wasteful number, since it uses less digits than its factorization.

20237541000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5232 (or 5218 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The spelling of 20237541000 in words is "twenty billion, two hundred thirty-seven million, five hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 2417 2791 3000 4834 5582 7251 8373 9668 11164 12085 13955 14502 16746 19336 22328 24170 27910 29004 33492 36255 41865 48340 55820 58008 60425 66984 69775 72510 83730 96680 111640 120850 139550 145020 167460 181275 209325 241700 279100 290040 302125 334920 348875 362550 418650 483400 558200 604250 697750 725100 837300 906375 1046625 1208500 1395500 1450200 1674600 1812750 2093250 2417000 2791000 3625500 4186500 6745847 7251000 8373000 13491694 20237541 26983388 33729235 40475082 53966776 67458470 80950164 101187705 134916940 161900328 168646175 202375410 269833880 337292350 404750820 505938525 674584700 809501640 843230875 1011877050 1349169400 1686461750 2023754100 2529692625 3372923500 4047508200 5059385250 6745847000 10118770500 20237541000