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2190500466 = 237117960017
BaseRepresentation
bin1000001010010000…
…0110001001110010
312122122210221201220
42002210012021302
513441232003331
61001210005510
7105165642510
oct20244061162
95578727656
102190500466
11a24531470
12511716896
1328ba8682b
1416acc74b0
15cc492296
hex82906272

2190500466 has 64 divisors (see below), whose sum is σ = 5531258880. Its totient is φ = 561749760.

The previous prime is 2190500461. The next prime is 2190500467. The reversal of 2190500466 is 6640050912.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2190500461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6490 + ... + 66506.

It is an arithmetic number, because the mean of its divisors is an integer number (86425920).

Almost surely, 22190500466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2190500466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765629440).

2190500466 is an abundant number, since it is smaller than the sum of its proper divisors (3340758414).

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

2190500466 is a wasteful number, since it uses less digits than its factorization.

2190500466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60119.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2190500466 is about 46802.7826736830. The cubic root of 2190500466 is about 1298.7167743803.

The spelling of 2190500466 in words is "two billion, one hundred ninety million, five hundred thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 79 154 158 231 237 462 474 553 869 1106 1659 1738 2607 3318 5214 6083 12166 18249 36498 60017 120034 180051 360102 420119 660187 840238 1260357 1320374 1980561 2520714 3961122 4621309 4741343 9242618 9482686 13863927 14224029 27727854 28448058 33189401 52154773 66378802 99568203 104309546 156464319 199136406 312928638 365083411 730166822 1095250233 2190500466