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224135552 = 2719234007
BaseRepresentation
bin11010101110000…
…00100110000000
3120121202021011202
431113000212000
5424334314202
634124000332
75361056264
oct1527004600
9517667152
10224135552
111055783a3
12630900a8
1337587bb4
1421aa60a4
1514a25802
hexd5c0980

224135552 has 64 divisors (see below), whose sum is σ = 490579200. Its totient is φ = 101528064.

The previous prime is 224135551. The next prime is 224135563. The reversal of 224135552 is 255531422.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224135551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53933 + ... + 57939.

It is an arithmetic number, because the mean of its divisors is an integer number (7665300).

Almost surely, 2224135552 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 224135552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245289600).

224135552 is an abundant number, since it is smaller than the sum of its proper divisors (266443648).

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

224135552 is a wasteful number, since it uses less digits than its factorization.

224135552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4063 (or 4051 counting only the distinct ones).

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

The square root of 224135552 is about 14971.1573366924. The cubic root of 224135552 is about 607.4402743476.

Adding to 224135552 its reverse (255531422), we get a palindrome (479666974).

The spelling of 224135552 in words is "two hundred twenty-four million, one hundred thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 304 368 437 608 736 874 1216 1472 1748 2432 2944 3496 4007 6992 8014 13984 16028 27968 32056 55936 64112 76133 92161 128224 152266 184322 256448 304532 368644 512896 609064 737288 1218128 1474576 1751059 2436256 2949152 3502118 4872512 5898304 7004236 9745024 11796608 14008472 28016944 56033888 112067776 224135552