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228269144250 = 23353743283397
BaseRepresentation
bin1101010010010111100…
…1101011100010111010
3210211012110200000011000
43110211321223202322
512214443400104000
6252510531545430
722330502466120
oct3244571534272
9724173600130
10228269144250
1188898a87734
12382a6a5b276
13186aac23374
14b0966d1910
155e10152000
hex3525e6b8ba

228269144250 has 512 divisors, whose sum is σ = 744817582080. Its totient is φ = 50654419200.

The previous prime is 228269144249. The next prime is 228269144261. The reversal of 228269144250 is 52441962822.

228269144250 is a `hidden beast` number, since 22 + 82 + 69 + 1 + 442 + 50 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 228269144196 and 228269144205.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 574985052 + ... + 574985448.

It is an arithmetic number, because the mean of its divisors is an integer number (1454721840).

Almost surely, 2228269144250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228269144250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372408791040).

228269144250 is an abundant number, since it is smaller than the sum of its proper divisors (516548437830).

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

228269144250 is a wasteful number, since it uses less digits than its factorization.

228269144250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 228269144250 in words is "two hundred twenty-eight billion, two hundred sixty-nine million, one hundred forty-four thousand, two hundred fifty".