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2182639072 = 253110720563
BaseRepresentation
bin1000001000011000…
…0110110111100000
312122010000112221011
42002012012313200
513432223422242
61000325310304
7105042061135
oct20206066740
95563015834
102182639072
11a20052049
1250ab65394
1328a263513
14169c3c58c
15cb93cd17
hex82186de0

2182639072 has 48 divisors (see below), whose sum is σ = 4477358592. Its totient is φ = 1046194560.

The previous prime is 2182639051. The next prime is 2182639087. The reversal of 2182639072 is 2709362812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95863 + ... + 116425.

It is an arithmetic number, because the mean of its divisors is an integer number (93278304).

Almost surely, 22182639072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2182639072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238679296).

2182639072 is an abundant number, since it is smaller than the sum of its proper divisors (2294719520).

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

2182639072 is a wasteful number, since it uses less digits than its factorization.

2182639072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20711 (or 20703 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 2182639072 is about 46718.7229277514. The cubic root of 2182639072 is about 1297.1612755989.

The spelling of 2182639072 in words is "two billion, one hundred eighty-two million, six hundred thirty-nine thousand, seventy-two".

Divisors: 1 2 4 8 16 31 32 62 107 124 214 248 428 496 856 992 1712 3317 3424 6634 13268 20563 26536 41126 53072 82252 106144 164504 329008 637453 658016 1274906 2200241 2549812 4400482 5099624 8800964 10199248 17601928 20398496 35203856 68207471 70407712 136414942 272829884 545659768 1091319536 2182639072