Search a number
-
+
5505622400 = 275219831091
BaseRepresentation
bin1010010000010100…
…10010000110000000
3112012200210121002202
411020022102012000
542233414404100
62310152332332
7253302006155
oct51012220600
915180717082
105505622400
112375864663
1210979a40a8
13699831b45
143a32bc22c
152235307d5
hex148292180

5505622400 has 192 divisors, whose sum is σ = 14502196800. Its totient is φ = 2059315200.

The previous prime is 5505622399. The next prime is 5505622469. The reversal of 5505622400 is 42265055.

It is a super-2 number, since 2×55056224002 = 60623756022763520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5045855 + ... + 5046945.

It is an arithmetic number, because the mean of its divisors is an integer number (75532275).

Almost surely, 25505622400 is an apocalyptic number.

5505622400 is a gapful number since it is divisible by the number (50) 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 5505622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7251098400).

5505622400 is an abundant number, since it is smaller than the sum of its proper divisors (8996574400).

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

5505622400 is a wasteful number, since it uses less digits than its factorization.

5505622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 5505622400 is about 74199.8814015225. The cubic root of 5505622400 is about 1765.7754485943.

Adding to 5505622400 its reverse (42265055), we get a palindrome (5547887455).

The spelling of 5505622400 in words is "five billion, five hundred five million, six hundred twenty-two thousand, four hundred".