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229834260 = 22355192131
BaseRepresentation
bin11011011001011…
…11111000010100
3121000110210100000
431230233320110
5432314144020
634450051300
75460362505
oct1554577024
9530423300
10229834260
1110880a977
1264b79b30
1338801a06
142274abac
151529e090
hexdb2fe14

229834260 has 216 divisors, whose sum is σ = 768864096. Its totient is φ = 57620160.

The previous prime is 229834249. The next prime is 229834261. The reversal of 229834260 is 62438922.

229834260 is a `hidden beast` number, since 229 + 8 + 3 + 426 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229834261) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1754395 + ... + 1754525.

It is an arithmetic number, because the mean of its divisors is an integer number (3559556).

Almost surely, 2229834260 is an apocalyptic number.

229834260 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 229834260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384432048).

229834260 is an abundant number, since it is smaller than the sum of its proper divisors (539029836).

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

229834260 is a wasteful number, since it uses less digits than its factorization.

229834260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 229834260 is about 15160.2856173622. The cubic root of 229834260 is about 612.5453616273.

The spelling of 229834260 in words is "two hundred twenty-nine million, eight hundred thirty-four thousand, two hundred sixty".