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2224484892 = 2232713764433
BaseRepresentation
bin1000010010010110…
…1111001000011100
312202000202112121100
42010211233020130
514023432004032
61004422233100
7106060544460
oct20445571034
95660675540
102224484892
11a41733473
12520b85790
13295b25266
141716124a0
15d045697c
hex8496f21c

2224484892 has 72 divisors (see below), whose sum is σ = 6473297376. Its totient is φ = 630918144.

The previous prime is 2224484861. The next prime is 2224484893. The reversal of 2224484892 is 2984844222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224484893) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2308 + ... + 66740.

It is an arithmetic number, because the mean of its divisors is an integer number (89906908).

Almost surely, 22224484892 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 2224484892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236648688).

2224484892 is an abundant number, since it is smaller than the sum of its proper divisors (4248812484).

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

2224484892 is a wasteful number, since it uses less digits than its factorization.

2224484892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64587 (or 64582 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 2224484892 is about 47164.4452103489. The cubic root of 2224484892 is about 1305.3986327880.

The spelling of 2224484892 in words is "two billion, two hundred twenty-four million, four hundred eighty-four thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 137 252 274 411 548 822 959 1233 1644 1918 2466 2877 3836 4932 5754 8631 11508 17262 34524 64433 128866 193299 257732 386598 451031 579897 773196 902062 1159794 1353093 1804124 2319588 2706186 4059279 5412372 8118558 8827321 16237116 17654642 26481963 35309284 52963926 61791247 79445889 105927852 123582494 158891778 185373741 247164988 317783556 370747482 556121223 741494964 1112242446 2224484892