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2010223000 = 235323711231
BaseRepresentation
bin111011111010001…
…1001000110011000
312012002120220112201
41313310121012120
513104104114000
6531250015544
7100546420312
oct16764310630
95162526481
102010223000
1194179a325
124812775b4
13260616586
14150d9a7b2
15bb73196a
hex77d19198

2010223000 has 128 divisors (see below), whose sum is σ = 4981616640. Its totient is φ = 757680000.

The previous prime is 2010222983. The next prime is 2010223001. The reversal of 2010223000 is 3220102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010223001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1632385 + ... + 1633615.

It is an arithmetic number, because the mean of its divisors is an integer number (38918880).

Almost surely, 22010223000 is an apocalyptic number.

2010223000 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 2010223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490808320).

2010223000 is an abundant number, since it is smaller than the sum of its proper divisors (2971393640).

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

2010223000 is a wasteful number, since it uses less digits than its factorization.

2010223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2010223000 is about 44835.5104799756. The cubic root of 2010223000 is about 1262.0640981171.

Adding to 2010223000 its reverse (3220102), we get a palindrome (2013443102).

The spelling of 2010223000 in words is "two billion, ten million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 71 92 100 115 125 142 184 200 230 250 284 355 460 500 568 575 710 920 1000 1150 1231 1420 1633 1775 2300 2462 2840 2875 3266 3550 4600 4924 5750 6155 6532 7100 8165 8875 9848 11500 12310 13064 14200 16330 17750 23000 24620 28313 30775 32660 35500 40825 49240 56626 61550 65320 71000 81650 87401 113252 123100 141565 153875 163300 174802 204125 226504 246200 283130 307750 326600 349604 408250 437005 566260 615500 699208 707825 816500 874010 1132520 1231000 1415650 1633000 1748020 2010223 2185025 2831300 3496040 3539125 4020446 4370050 5662600 7078250 8040892 8740100 10051115 10925125 14156500 16081784 17480200 20102230 21850250 28313000 40204460 43700500 50255575 80408920 87401000 100511150 201022300 251277875 402044600 502555750 1005111500 2010223000