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2030212000 = 25534710799
BaseRepresentation
bin111100100000010…
…1001001110100000
312020111012110022001
41321000221032200
513124213241000
6533242253344
7101211342265
oct17100511640
95214173261
102030212000
11952002363
12487ab7254
132647c499b
141538c126c
15bd37e46a
hex790293a0

2030212000 has 96 divisors (see below), whose sum is σ = 5094835200. Its totient is φ = 794732800.

The previous prime is 2030211991. The next prime is 2030212003. The reversal of 2030212000 is 2120302.

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

It is not an unprimeable number, because it can be changed into a prime (2030212003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182601 + ... + 193399.

It is an arithmetic number, because the mean of its divisors is an integer number (53071200).

Almost surely, 22030212000 is an apocalyptic number.

2030212000 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 2030212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547417600).

2030212000 is an abundant number, since it is smaller than the sum of its proper divisors (3064623200).

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

2030212000 is a wasteful number, since it uses less digits than its factorization.

2030212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10871 (or 10853 counting only the distinct ones).

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

The square root of 2030212000 is about 45057.8738956911. The cubic root of 2030212000 is about 1266.2334930008.

Adding to 2030212000 its reverse (2120302), we get a palindrome (2032332302).

The spelling of 2030212000 in words is "two billion, thirty million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 125 160 188 200 235 250 376 400 470 500 752 800 940 1000 1175 1504 1880 2000 2350 3760 4000 4700 5875 7520 9400 10799 11750 18800 21598 23500 37600 43196 47000 53995 86392 94000 107990 172784 188000 215980 269975 345568 431960 507553 539950 863920 1015106 1079900 1349875 1727840 2030212 2159800 2537765 2699750 4060424 4319600 5075530 5399500 8120848 8639200 10151060 10799000 12688825 16241696 20302120 21598000 25377650 40604240 43196000 50755300 63444125 81208480 101510600 126888250 203021200 253776500 406042400 507553000 1015106000 2030212000