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230227920 = 2435513911
BaseRepresentation
bin11011011100011…
…11111111010000
3121001012210100000
431232033333100
5432414243140
634502330000
75463622266
oct1556177720
9531183300
10230227920
11108a5970a
1265129900
133890bc50
1422810436
151532aa30
hexdb8ffd0

230227920 has 240 divisors, whose sum is σ = 864444672. Its totient is φ = 56609280.

The previous prime is 230227901. The next prime is 230227951. The reversal of 230227920 is 29722032.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252265 + ... + 253175.

Almost surely, 2230227920 is an apocalyptic number.

230227920 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 230227920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432222336).

230227920 is an abundant number, since it is smaller than the sum of its proper divisors (634216752).

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

230227920 is a wasteful number, since it uses less digits than its factorization.

230227920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 230227920 is about 15173.2633273136. The cubic root of 230227920 is about 612.8948846069.

Adding to 230227920 its reverse (29722032), we get a palindrome (259949952).

It can be divided in two parts, 230 and 227920, that added together give a triangular number (228150 = T675).

The spelling of 230227920 in words is "two hundred thirty million, two hundred twenty-seven thousand, nine hundred twenty".