Search a number
-
+
2232422144 = 2818148179
BaseRepresentation
bin1000010100010000…
…0000111100000000
312202120200210110122
42011010000330000
514033000002034
61005304315412
7106215163241
oct20504007400
95676623418
102232422144
11a46164887
12523772b68
13297673c64
141726bacc8
15d0ec362e
hex85100f00

2232422144 has 36 divisors (see below), whose sum is σ = 4480836360. Its totient is φ = 1110021120.

The previous prime is 2232422077. The next prime is 2232422183. The reversal of 2232422144 is 4412242322.

It is a super-3 number, since 3×22324221443 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22247 + ... + 70425.

Almost surely, 22232422144 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 2232422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240418180).

2232422144 is an abundant number, since it is smaller than the sum of its proper divisors (2248414216).

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

2232422144 is an equidigital number, since it uses as much as digits as its factorization.

2232422144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48376 (or 48362 counting only the distinct ones).

The product of its digits is 6144, while the sum is 26.

The square root of 2232422144 is about 47248.5147279785. The cubic root of 2232422144 is about 1306.9494006165.

Adding to 2232422144 its reverse (4412242322), we get a palindrome (6644664466).

The spelling of 2232422144 in words is "two billion, two hundred thirty-two million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 181 256 362 724 1448 2896 5792 11584 23168 46336 48179 96358 192716 385432 770864 1541728 3083456 6166912 8720399 12333824 17440798 34881596 69763192 139526384 279052768 558105536 1116211072 2232422144