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1820212000 = 2553455053
BaseRepresentation
bin110110001111110…
…0011101100100000
311200212001100110021
41230133203230200
512211433241000
6500341243224
763051355345
oct15437435440
94625040407
101820212000
1185450a242
12429703514
13230148b29
14133a587cc
15a9bec11a
hex6c7e3b20

1820212000 has 48 divisors (see below), whose sum is σ = 4472270712. Its totient is φ = 728083200.

The previous prime is 1820211997. The next prime is 1820212013. The reversal of 1820212000 is 2120281.

It can be written as a sum of positive squares in 4 ways, for example, as 631617424 + 1188594576 = 25132^2 + 34476^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223527 + ... + 231526.

Almost surely, 21820212000 is an apocalyptic number.

1820212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1820212000 is an abundant number, since it is smaller than the sum of its proper divisors (2652058712).

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

1820212000 is an equidigital number, since it uses as much as digits as its factorization.

1820212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455078 (or 455060 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1820212000 is about 42663.9426213753. The cubic root of 1820212000 is about 1220.9765539465.

Adding to 1820212000 its reverse (2120281), we get a palindrome (1822332281).

The spelling of 1820212000 in words is "one billion, eight hundred twenty million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 455053 910106 1820212 2275265 3640424 4550530 7280848 9101060 11376325 14561696 18202120 22752650 36404240 45505300 56881625 72808480 91010600 113763250 182021200 227526500 364042400 455053000 910106000 1820212000