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2054232224 = 251110754541
BaseRepresentation
bin111101001110001…
…0001100010100000
312022011101210211222
41322130101202200
513201340412344
6535501154212
7101622454142
oct17234214240
95264353758
102054232224
11964619090
12493b5b968
13269784c35
14156b74c92
15c05265ee
hex7a7118a0

2054232224 has 48 divisors (see below), whose sum is σ = 4453245216. Its totient is φ = 924998400.

The previous prime is 2054232209. The next prime is 2054232227. The reversal of 2054232224 is 4222324502.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2054232193 and 2054232202.

It is not an unprimeable number, because it can be changed into a prime (2054232227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10394 + ... + 64934.

It is an arithmetic number, because the mean of its divisors is an integer number (92775942).

Almost surely, 22054232224 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 2054232224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226622608).

2054232224 is an abundant number, since it is smaller than the sum of its proper divisors (2399012992).

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

2054232224 is a wasteful number, since it uses less digits than its factorization.

2054232224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54669 (or 54661 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 2054232224 is about 45323.6386888785. The cubic root of 2054232224 is about 1271.2076932370.

Adding to 2054232224 its reverse (4222324502), we get a palindrome (6276556726).

The spelling of 2054232224 in words is "two billion, fifty-four million, two hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 107 176 214 352 428 856 1177 1712 2354 3424 4708 9416 18832 37664 54541 109082 218164 436328 599951 872656 1199902 1745312 2399804 4799608 5835887 9599216 11671774 19198432 23343548 46687096 64194757 93374192 128389514 186748384 256779028 513558056 1027116112 2054232224