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229028249736 = 233411132316133
BaseRepresentation
bin1101010101001100100…
…1011100000010001000
3210220011101001120010000
43111103021130002020
512223022212442421
6253114130123000
722355351000466
oct3252311340210
9726141046100
10229028249736
1189148526940
1238479120460
131879c288500
14b129453836
155e56aec226
hex355325c088

229028249736 has 480 divisors, whose sum is σ = 782352933120. Its totient is φ = 61987161600.

The previous prime is 229028249707. The next prime is 229028249741. The reversal of 229028249736 is 637942820922.

229028249736 is a `hidden beast` number, since 2 + 290 + 282 + 4 + 9 + 73 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 37340526 + ... + 37346658.

It is an arithmetic number, because the mean of its divisors is an integer number (1629901944).

Almost surely, 2229028249736 is an apocalyptic number.

229028249736 is a gapful number since it is divisible by the number (26) 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 229028249736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391176466560).

229028249736 is an abundant number, since it is smaller than the sum of its proper divisors (553324683384).

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

229028249736 is a wasteful number, since it uses less digits than its factorization.

229028249736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6219 (or 6193 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 229028249736 in words is "two hundred twenty-nine billion, twenty-eight million, two hundred forty-nine thousand, seven hundred thirty-six".