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2180000812 = 2211234745833
BaseRepresentation
bin1000000111110000…
…0010110000101100
312121221001111220211
42001330002300230
513431040011222
61000152552204
7105010462333
oct20174026054
95557044824
102180000812
11a1960a970
1250a0b2664
1328984b712
14169752d1a
15cb5bb277
hex81f02c2c

2180000812 has 48 divisors (see below), whose sum is σ = 4435264512. Its totient is φ = 927639680.

The previous prime is 2180000807. The next prime is 2180000821.

2180000812 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24648 + ... + 70480.

It is an arithmetic number, because the mean of its divisors is an integer number (92401344).

Almost surely, 22180000812 is an apocalyptic number.

2180000812 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2180000812 is an abundant number, since it is smaller than the sum of its proper divisors (2255263700).

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

2180000812 is a wasteful number, since it uses less digits than its factorization.

2180000812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45918 (or 45916 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 2180000812 is about 46690.4788152788. The cubic root of 2180000812 is about 1296.6384179635.

It can be divided in two parts, 2180000 and 812, that added together give a palindrome (2180812).

The spelling of 2180000812 in words is "two billion, one hundred eighty million, eight hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 11 22 23 44 46 47 92 94 188 253 506 517 1012 1034 1081 2068 2162 4324 11891 23782 45833 47564 91666 183332 504163 1008326 1054159 2016652 2108318 2154151 4216636 4308302 8616604 11595749 23191498 23695661 46382996 47391322 49545473 94782644 99090946 198181892 545000203 1090000406 2180000812