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55226304 = 2632713697
BaseRepresentation
bin1101001010101…
…0111111000000
310211220210020200
43102222333000
5103114220204
65251405200
71240262430
oct322527700
9124823220
1055226304
11291a0381
12165b3800
13b5981b3
1474982c0
154cad539
hex34aafc0

55226304 has 84 divisors (see below), whose sum is σ = 180923184. Its totient is φ = 15777792.

The previous prime is 55226299. The next prime is 55226309. The reversal of 55226304 is 40362255.

55226304 is a `hidden beast` number, since 5 + 5 + 22 + 630 + 4 = 666.

55226304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55226299) and next prime (55226309).

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55226309) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2817 + ... + 10880.

Almost surely, 255226304 is an apocalyptic number.

It is an amenable number.

55226304 is an abundant number, since it is smaller than the sum of its proper divisors (125696880).

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

55226304 is a wasteful number, since it uses less digits than its factorization.

55226304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13722 (or 13709 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 55226304 is about 7431.4402372622. The cubic root of 55226304 is about 380.8161222372.

Adding to 55226304 its reverse (40362255), we get a palindrome (95588559).

The spelling of 55226304 in words is "fifty-five million, two hundred twenty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 13697 27394 41091 54788 82182 95879 109576 123273 164364 191758 219152 246546 287637 328728 383516 438304 493092 575274 657456 767032 862911 876608 986184 1150548 1314912 1534064 1725822 1972368 2301096 2629824 3068128 3451644 3944736 4602192 6136256 6903288 7889472 9204384 13806576 18408768 27613152 55226304