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229749696 = 2635111779
BaseRepresentation
bin11011011000110…
…11001111000000
3121000022111100000
431230123033000
5432303442241
634444200000
75456561121
oct1554331700
9530274300
10229749696
11108762390
1264b39000
13387a2387
1422728048
1515283eb6
hexdb1b3c0

229749696 has 336 divisors, whose sum is σ = 798819840. Its totient is φ = 64696320.

The previous prime is 229749661. The next prime is 229749701. The reversal of 229749696 is 696947922.

229749696 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 (54).

Its product of digits (2939328) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2908185 + ... + 2908263.

It is an arithmetic number, because the mean of its divisors is an integer number (2377440).

Almost surely, 2229749696 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 229749696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399409920).

229749696 is an abundant number, since it is smaller than the sum of its proper divisors (569070144).

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

229749696 is a wasteful number, since it uses less digits than its factorization.

229749696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 229749696 is about 15157.4963631861. The cubic root of 229749696 is about 612.4702268465.

The spelling of 229749696 in words is "two hundred twenty-nine million, seven hundred forty-nine thousand, six hundred ninety-six".