Search a number
-
+
552205020 = 223537251991
BaseRepresentation
bin100000111010011…
…111101011011100
31102111001220212210
4200322133223130
52112331030040
6130443400420
716453444113
oct4072375334
91374056783
10552205020
11263783894
12134b23110
138a533043
14534a4c7a
153372b480
hex20e9fadc

552205020 has 96 divisors (see below), whose sum is σ = 1595897856. Its totient is φ = 142560000.

The previous prime is 552204977. The next prime is 552205061. The reversal of 552205020 is 20502255.

It is a super-2 number, since 2×5522050202 = 609860768226400800, which 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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556725 + ... + 557715.

It is an arithmetic number, because the mean of its divisors is an integer number (16623936).

Almost surely, 2552205020 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 552205020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797948928).

552205020 is an abundant number, since it is smaller than the sum of its proper divisors (1043692836).

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

552205020 is a wasteful number, since it uses less digits than its factorization.

552205020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 21.

The square root of 552205020 is about 23499.0429592356. The cubic root of 552205020 is about 820.4147317087.

Adding to 552205020 its reverse (20502255), we get a palindrome (572707275).

The spelling of 552205020 in words is "five hundred fifty-two million, two hundred five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 251 370 444 502 555 740 753 991 1004 1110 1255 1506 1982 2220 2510 2973 3012 3765 3964 4955 5020 5946 7530 9287 9910 11892 14865 15060 18574 19820 27861 29730 36667 37148 46435 55722 59460 73334 92870 110001 111444 139305 146668 183335 185740 220002 248741 278610 366670 440004 497482 550005 557220 733340 746223 994964 1100010 1243705 1492446 2200020 2487410 2984892 3731115 4974820 7462230 9203417 14924460 18406834 27610251 36813668 46017085 55220502 92034170 110441004 138051255 184068340 276102510 552205020