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2122049640 = 233517683747
BaseRepresentation
bin111111001111011…
…1110100001101000
312110220000021212010
41332132332201220
513321221042030
6550322515520
7103405060434
oct17636764150
95426007763
102122049640
11999929337
124b2805ba0
1327a83b199
14161b899c4
15c64706b0
hex7e7be868

2122049640 has 32 divisors (see below), whose sum is σ = 6366149280. Its totient is φ = 565879872.

The previous prime is 2122049627. The next prime is 2122049651. The reversal of 2122049640 is 469402212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2122049598 and 2122049607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8841754 + ... + 8841993.

It is an arithmetic number, because the mean of its divisors is an integer number (198942165).

Almost surely, 22122049640 is an apocalyptic number.

2122049640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122049640 is an abundant number, since it is smaller than the sum of its proper divisors (4244099640).

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

2122049640 is a wasteful number, since it uses less digits than its factorization.

2122049640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17683761 (or 17683757 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2122049640 is about 46065.7100238344. The cubic root of 2122049640 is about 1285.0455231744.

The spelling of 2122049640 in words is "two billion, one hundred twenty-two million, forty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 17683747 35367494 53051241 70734988 88418735 106102482 141469976 176837470 212204964 265256205 353674940 424409928 530512410 707349880 1061024820 2122049640