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255520224 = 2533377993
BaseRepresentation
bin11110011101011…
…10110111100000
3122210210202212000
433032232313200
51010403121344
641204404000
76221612631
oct1716566740
9583722760
10255520224
11121264143
12716a6600
1340c261cb
1425d15888
1517674a69
hexf3aede0

255520224 has 96 divisors (see below), whose sum is σ = 765505440. Its totient is φ = 82861056.

The previous prime is 255520219. The next prime is 255520253. The reversal of 255520224 is 422025552.

It is a Cunningham number, because it is equal to 159852-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 27972 + ... + 35964.

It is an arithmetic number, because the mean of its divisors is an integer number (7974015).

Almost surely, 2255520224 is an apocalyptic number.

255520224 is a gapful number since it is divisible by the number (24) 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 255520224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382752720).

255520224 is an abundant number, since it is smaller than the sum of its proper divisors (509985216).

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

255520224 is a wasteful number, since it uses less digits than its factorization.

255520224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8049 (or 8035 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 255520224 is about 15984.9999687207. Note that the first 4 decimals coincide. The cubic root of 255520224 is about 634.5635076628.

Adding to 255520224 its reverse (422025552), we get a palindrome (677545776).

The spelling of 255520224 in words is "two hundred fifty-five million, five hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 96 108 111 144 148 216 222 288 296 333 432 444 592 666 864 888 999 1184 1332 1776 1998 2664 3552 3996 5328 7992 7993 10656 15984 15986 23979 31968 31972 47958 63944 71937 95916 127888 143874 191832 215811 255776 287748 295741 383664 431622 575496 591482 767328 863244 887223 1150992 1182964 1726488 1774446 2301984 2365928 2661669 3452976 3548892 4731856 5323338 6905952 7097784 7985007 9463712 10646676 14195568 15970014 21293352 28391136 31940028 42586704 63880056 85173408 127760112 255520224