Search a number
-
+
54315222400 = 275216973507
BaseRepresentation
bin110010100101011100…
…001000010110000000
312012012022200011220201
4302211130020112000
51342214144104100
640541351414544
73631660526035
oct624534102600
9165168604821
1054315222400
112104258855a
12a63a084454
135177a8bb6a
1428b389b38c
15162d63436a
hexca5708580

54315222400 has 48 divisors (see below), whose sum is σ = 134175580740. Its totient is φ = 21726087680.

The previous prime is 54315222397. The next prime is 54315222413. The reversal of 54315222400 is 422251345.

It is a super-2 number, since 2×543152224002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 8483554 + ... + 8489953.

Almost surely, 254315222400 is an apocalyptic number.

54315222400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54315222400 is an abundant number, since it is smaller than the sum of its proper divisors (79860358340).

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

54315222400 is a wasteful number, since it uses less digits than its factorization.

54315222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16973531 (or 16973514 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 54315222400 its reverse (422251345), we get a palindrome (54737473745).

The spelling of 54315222400 in words is "fifty-four billion, three hundred fifteen million, two hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 16973507 33947014 67894028 84867535 135788056 169735070 271576112 339470140 424337675 543152224 678940280 848675350 1086304448 1357880560 1697350700 2172608896 2715761120 3394701400 5431522240 6789402800 10863044480 13578805600 27157611200 54315222400