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5202226656 = 2532111642117
BaseRepresentation
bin1001101100001001…
…11010110111100000
3111102112220111101100
410312010322313200
541123232223111
62220113434400
7242626124364
oct46604726740
914375814340
105202226656
11222a580980
12101226ba00
1364ba15533
14374ca32a4
15206aa0756
hex13613ade0

5202226656 has 72 divisors (see below), whose sum is σ = 16138735704. Its totient is φ = 1576431360.

The previous prime is 5202226651. The next prime is 5202226717. The reversal of 5202226656 is 6566222025.

5202226656 is a `hidden beast` number, since 520 + 2 + 22 + 66 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5202226656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5202226651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 817891 + ... + 824226.

It is an arithmetic number, because the mean of its divisors is an integer number (224149107).

Almost surely, 25202226656 is an apocalyptic number.

It is an amenable number.

5202226656 is an abundant number, since it is smaller than the sum of its proper divisors (10936509048).

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

5202226656 is a wasteful number, since it uses less digits than its factorization.

5202226656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642144 (or 1642133 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5202226656 is about 72126.4629383696. The cubic root of 5202226656 is about 1732.7254595611.

The spelling of 5202226656 in words is "five billion, two hundred two million, two hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 1642117 3284234 4926351 6568468 9852702 13136936 14779053 18063287 19705404 26273872 29558106 36126574 39410808 52547744 54189861 59116212 72253148 78821616 108379722 118232424 144506296 157643232 162569583 216759444 236464848 289012592 325139166 433518888 472929696 578025184 650278332 867037776 1300556664 1734075552 2601113328 5202226656