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228537054720 = 2934513174987
BaseRepresentation
bin1101010011010111011…
…1101011011000000000
3210211220010210021020000
43110311313223120000
512221020441222340
6252553302120000
722340234625162
oct3246567533000
9724803707200
10228537054720
1188a16233847
1238360720000
1318721597080
14b0c0110932
155e28922d30
hex3535deb600

228537054720 has 800 divisors, whose sum is σ = 933553561248. Its totient is φ = 52935524352.

The previous prime is 228537054649. The next prime is 228537054731. The reversal of 228537054720 is 27450735822.

228537054720 is a `hidden beast` number, since 2 + 2 + 85 + 3 + 7 + 0 + 547 + 20 = 666.

228537054720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45824067 + ... + 45829053.

Almost surely, 2228537054720 is an apocalyptic number.

228537054720 is a gapful number since it is divisible by the number (20) 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 228537054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466776780624).

228537054720 is an abundant number, since it is smaller than the sum of its proper divisors (705016506528).

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

228537054720 is a wasteful number, since it uses less digits than its factorization.

228537054720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5052 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 228537054720 in words is "two hundred twenty-eight billion, five hundred thirty-seven million, fifty-four thousand, seven hundred twenty".