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2164024520 = 235717454627
BaseRepresentation
bin1000000011111100…
…0110010011001000
312120210222211120022
42000333012103020
513412442241040
6554422320012
7104424622250
oct20077062310
95523884508
102164024520
11a10598719
12504889008
132864468a8
14167594960
15c9eb26b5
hex80fc64c8

2164024520 has 64 divisors (see below), whose sum is σ = 5891978880. Its totient is φ = 698305536.

The previous prime is 2164024519. The next prime is 2164024531. The reversal of 2164024520 is 254204612.

It is a super-2 number, since 2×21640245202 = 9366004246322460800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2164024520.

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, 222554 + ... + 232073.

It is an arithmetic number, because the mean of its divisors is an integer number (92062170).

Almost surely, 22164024520 is an apocalyptic number.

2164024520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2164024520 is an abundant number, since it is smaller than the sum of its proper divisors (3727954360).

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

2164024520 is a wasteful number, since it uses less digits than its factorization.

2164024520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454662 (or 454658 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 2164024520 is about 46519.0769469903. The cubic root of 2164024520 is about 1293.4631460614.

The spelling of 2164024520 in words is "two billion, one hundred sixty-four million, twenty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 454627 909254 1818508 2273135 3182389 3637016 4546270 6364778 7728659 9092540 12729556 15457318 15911945 18185080 25459112 30914636 31823890 38643295 54100613 61829272 63647780 77286590 108201226 127295560 154573180 216402452 270503065 309146360 432804904 541006130 1082012260 2164024520