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2194456820 = 225167659997
BaseRepresentation
bin1000001011001100…
…1100000011110100
312122221020221211112
42002303030003310
513443240104240
61001430454152
7105244401203
oct20263140364
95587227745
102194456820
11a26793986
12512b04358
1328c84057a
1416b63723a
15cc9c4665
hex82ccc0f4

2194456820 has 48 divisors (see below), whose sum is σ = 4647646080. Its totient is φ = 870328704.

The previous prime is 2194456807. The next prime is 2194456867. The reversal of 2194456820 is 286544912.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2200562 + ... + 2201558.

It is an arithmetic number, because the mean of its divisors is an integer number (96825960).

Almost surely, 22194456820 is an apocalyptic number.

2194456820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2194456820 is an abundant number, since it is smaller than the sum of its proper divisors (2453189260).

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

2194456820 is a wasteful number, since it uses less digits than its factorization.

2194456820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 2194456820 is about 46845.0298324166. The cubic root of 2194456820 is about 1299.4981929124.

The spelling of 2194456820 in words is "two billion, one hundred ninety-four million, four hundred fifty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 167 334 659 668 835 997 1318 1670 1994 2636 3295 3340 3988 4985 6590 9970 13180 19940 110053 166499 220106 332998 440212 550265 657023 665996 832495 1100530 1314046 1664990 2201060 2628092 3285115 3329980 6570230 13140460 109722841 219445682 438891364 548614205 1097228410 2194456820