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2006822140 = 225837571597
BaseRepresentation
bin111011110011101…
…1010110011111100
312011212012010102221
41313213122303330
513102221302030
6531045055124
7100505464261
oct16747326374
95155163387
102006822140
1193a8871a4
124800b74a4
1325c9c562b
14150753268
15bb2ade7a
hex779dacfc

2006822140 has 48 divisors (see below), whose sum is σ = 4273409952. Its totient is φ = 791513856.

The previous prime is 2006822119. The next prime is 2006822149. The reversal of 2006822140 is 412286002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006822149) 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, 1255822 + ... + 1257418.

It is an arithmetic number, because the mean of its divisors is an integer number (89029374).

Almost surely, 22006822140 is an apocalyptic number.

2006822140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006822140 is an abundant number, since it is smaller than the sum of its proper divisors (2266587812).

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

2006822140 is a wasteful number, since it uses less digits than its factorization.

2006822140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2006822140 is about 44797.5684607993. The cubic root of 2006822140 is about 1261.3519837528.

The spelling of 2006822140 in words is "two billion, six million, eight hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 83 166 332 415 757 830 1514 1597 1660 3028 3194 3785 6388 7570 7985 15140 15970 31940 62831 125662 132551 251324 265102 314155 530204 628310 662755 1208929 1256620 1325510 2417858 2651020 4835716 6044645 12089290 24178580 100341107 200682214 401364428 501705535 1003411070 2006822140