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229481640 = 233351729431
BaseRepresentation
bin11011010110110…
…01110010101000
3120222210212122000
431223121302220
5432221403030
634434331000
75454363453
oct1553316250
9528725560
10229481640
11108599a53
1264a29a60
133870a36b
142269849a
151522e860
hexdad9ca8

229481640 has 256 divisors, whose sum is σ = 839808000. Its totient is φ = 55480320.

The previous prime is 229481599. The next prime is 229481641. The reversal of 229481640 is 46184922.

229481640 is a `hidden beast` number, since 2 + 2 + 9 + 4 + 8 + 1 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 229481595 and 229481604.

It is not an unprimeable number, because it can be changed into a prime (229481641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 532225 + ... + 532655.

It is an arithmetic number, because the mean of its divisors is an integer number (3280500).

Almost surely, 2229481640 is an apocalyptic number.

229481640 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 229481640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419904000).

229481640 is an abundant number, since it is smaller than the sum of its proper divisors (610326360).

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

229481640 is a wasteful number, since it uses less digits than its factorization.

229481640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 229481640 is about 15148.6514251269. The cubic root of 229481640 is about 612.2319382318.

The spelling of 229481640 in words is "two hundred twenty-nine million, four hundred eighty-one thousand, six hundred forty".