Search a number
-
+
2234625984 = 263230712637
BaseRepresentation
bin1000010100110001…
…1010111111000000
312202201211202120100
42011030122333000
514034031012414
61005423442400
7106243002363
oct20514327700
95681752510
102234625984
11a4742a638
12524456400
13297c660c6
14172ad20da
15d12ab609
hex8531afc0

2234625984 has 84 divisors (see below), whose sum is σ = 6426524104. Its totient is φ = 742390272.

The previous prime is 2234625977. The next prime is 2234626007. The reversal of 2234625984 is 4895264322.

2234625984 is a `hidden beast` number, since 22 + 34 + 6 + 2 + 598 + 4 = 666.

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, 170514 + ... + 183150.

Almost surely, 22234625984 is an apocalyptic number.

2234625984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2234625984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213262052).

2234625984 is an abundant number, since it is smaller than the sum of its proper divisors (4191898120).

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

2234625984 is a wasteful number, since it uses less digits than its factorization.

2234625984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12962 (or 12949 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 2234625984 is about 47271.8307663243. The cubic root of 2234625984 is about 1307.3793312614.

The spelling of 2234625984 in words is "two billion, two hundred thirty-four million, six hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 307 576 614 921 1228 1842 2456 2763 3684 4912 5526 7368 9824 11052 12637 14736 19648 22104 25274 29472 37911 44208 50548 58944 75822 88416 101096 113733 151644 176832 202192 227466 303288 404384 454932 606576 808768 909864 1213152 1819728 2426304 3639456 3879559 7278912 7759118 11638677 15518236 23277354 31036472 34916031 46554708 62072944 69832062 93109416 124145888 139664124 186218832 248291776 279328248 372437664 558656496 744875328 1117312992 2234625984