Search a number
-
+
229689043200 = 2835521131307
BaseRepresentation
bin1101010111101010001…
…0001010100100000000
3210221212102110100100000
43111322202022210000
512230400343340300
6253303453200000
722410623440161
oct3257242124400
9727772410300
10229689043200
1189457527841
1238622490000
131887614b266
14b18d103768
155e94b27c00
hex357a88a900

229689043200 has 648 divisors, whose sum is σ = 859798281888. Its totient is φ = 60661923840.

The previous prime is 229689043187. The next prime is 229689043219. The reversal of 229689043200 is 2340986922.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×2296890432002 (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 175736947 + ... + 175738253.

Almost surely, 2229689043200 is an apocalyptic number.

229689043200 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 229689043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429899140944).

229689043200 is an abundant number, since it is smaller than the sum of its proper divisors (630109238688).

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

229689043200 is a wasteful number, since it uses less digits than its factorization.

229689043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 229689043200 in words is "two hundred twenty-nine billion, six hundred eighty-nine million, forty-three thousand, two hundred".