Search a number
-
+
229780992 = 293724371
BaseRepresentation
bin11011011001000…
…10111000000000
3121000101002021010
431230202320000
5432310442432
634445000520
75460051300
oct1554427000
9530332233
10229780992
11108783951
1264b53140
13387b36ac
1422735600
151528d3cc
hexdb22e00

229780992 has 240 divisors, whose sum is σ = 738916992. Its totient is φ = 63221760.

The previous prime is 229780981. The next prime is 229781029. The reversal of 229780992 is 299087922.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3236317 + ... + 3236387.

Almost surely, 2229780992 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 229780992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369458496).

229780992 is an abundant number, since it is smaller than the sum of its proper divisors (509136000).

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

229780992 is an equidigital number, since it uses as much as digits as its factorization.

229780992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 229780992 is about 15158.5286884974. The cubic root of 229780992 is about 612.4980353678.

The spelling of 229780992 in words is "two hundred twenty-nine million, seven hundred eighty thousand, nine hundred ninety-two".