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55922356224 = 212327283373
BaseRepresentation
bin110100000101001110…
…110111000000000000
312100100022210001001200
4310011032313000000
51404012110344344
641405042101200
74016544120300
oct640516670000
9170308701050
1055922356224
1121797791a29
12aa0834a800
135372a21a17
1429c70cb600
1516c4792069
hexd053b7000

55922356224 has 468 divisors, whose sum is σ = 190680385896. Its totient is φ = 15742992384.

The previous prime is 55922356183. The next prime is 55922356247. The reversal of 55922356224 is 42265322955.

55922356224 is a `hidden beast` number, since 5 + 59 + 22 + 356 + 224 = 666.

Its product of digits (1296000) is a multiple of the sum of its prime factors (500).

It is a self number, because there is not a number n which added to its sum of digits gives 55922356224.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 149925702 + ... + 149926074.

It is an arithmetic number, because the mean of its divisors is an integer number (407436722).

Almost surely, 255922356224 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 55922356224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95340192948).

55922356224 is an abundant number, since it is smaller than the sum of its proper divisors (134758029672).

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

55922356224 is a wasteful number, since it uses less digits than its factorization.

55922356224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 468 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The spelling of 55922356224 in words is "fifty-five billion, nine hundred twenty-two million, three hundred fifty-six thousand, two hundred twenty-four".