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228555150336 = 21033172332087
BaseRepresentation
bin1101010011011011110…
…0101101010000000000
3210211221101211121202000
43110312330231100000
512221040104302321
6252555150024000
722340544503112
oct3246674552000
9724841747660
10228555150336
1188a254732a7
12383667a8000
1318725261736
14b0c26a13b2
155e2a2e9826
hex3536f2d400

228555150336 has 352 divisors, whose sum is σ = 720106433280. Its totient is φ = 71361626112.

The previous prime is 228555150289. The next prime is 228555150391. The reversal of 228555150336 is 633051555822.

228555150336 is a `hidden beast` number, since 22 + 85 + 5 + 515 + 0 + 3 + 36 = 666.

It is a super-2 number, since 2×2285551503362 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 228555150291 and 228555150300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109512685 + ... + 109514771.

Almost surely, 2228555150336 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 228555150336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360053216640).

228555150336 is an abundant number, since it is smaller than the sum of its proper divisors (491551282944).

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

228555150336 is a wasteful number, since it uses less digits than its factorization.

228555150336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 228555150336 in words is "two hundred twenty-eight billion, five hundred fifty-five million, one hundred fifty thousand, three hundred thirty-six".