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2245660020 = 2232512475889
BaseRepresentation
bin1000010111011010…
…0000110101110100
312210111121100102100
42011312200311310
514044342110040
61010500142100
7106435536522
oct20566406564
95714540370
102245660020
11a5268667a
12528097930
1329a32a516
14174365312
15d223ab30
hex85da0d74

2245660020 has 36 divisors (see below), whose sum is σ = 6811835940. Its totient is φ = 598842624.

The previous prime is 2245660009. The next prime is 2245660031. The reversal of 2245660020 is 200665422.

2245660020 is a `hidden beast` number, since 2 + 2 + 4 + 56 + 600 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2245660009) and next prime (2245660031).

It can be written as a sum of positive squares in 2 ways, for example, as 1210622436 + 1035037584 = 34794^2 + 32172^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×22456600203 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6237765 + ... + 6238124.

It is an arithmetic number, because the mean of its divisors is an integer number (189217665).

Almost surely, 22245660020 is an apocalyptic number.

2245660020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2245660020 is an abundant number, since it is smaller than the sum of its proper divisors (4566175920).

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

2245660020 is a wasteful number, since it uses less digits than its factorization.

2245660020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12475904 (or 12475899 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2245660020 is about 47388.3954149114. The cubic root of 2245660020 is about 1309.5276388757.

The spelling of 2245660020 in words is "two billion, two hundred forty-five million, six hundred sixty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12475889 24951778 37427667 49903556 62379445 74855334 112283001 124758890 149710668 187138335 224566002 249517780 374276670 449132004 561415005 748553340 1122830010 2245660020