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229031820 = 223351761409
BaseRepresentation
bin11011010011010…
…11111110001100
3120221222000121000
431221223332030
5432113004240
634420540300
75450511153
oct1551537614
9527860530
10229031820
11108311aa6
1264851690
13385b06b4
14225bc59a
1515191430
hexda6bf8c

229031820 has 192 divisors, whose sum is σ = 768700800. Its totient is φ = 56401920.

The previous prime is 229031807. The next prime is 229031827. The reversal of 229031820 is 28130922.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (229031827) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 559776 + ... + 560184.

It is an arithmetic number, because the mean of its divisors is an integer number (4003650).

Almost surely, 2229031820 is an apocalyptic number.

229031820 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 229031820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384350400).

229031820 is an abundant number, since it is smaller than the sum of its proper divisors (539668980).

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

229031820 is a wasteful number, since it uses less digits than its factorization.

229031820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 229031820 is about 15133.7972762952. The cubic root of 229031820 is about 611.8316530423.

The spelling of 229031820 in words is "two hundred twenty-nine million, thirty-one thousand, eight hundred twenty".