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229466848 = 25132151281
BaseRepresentation
bin11011010110101…
…10001011100000
3120222210010100011
431223112023200
5432220414343
634434134304
75454302362
oct1553261340
9528703304
10229466848
11108589926
1264a21394
1338703700
1422692d32
151522a29d
hexdad62e0

229466848 has 72 divisors (see below), whose sum is σ = 494179056. Its totient is φ = 104832000.

The previous prime is 229466807. The next prime is 229466869. The reversal of 229466848 is 848664922.

229466848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 816468 + ... + 816748.

It is an arithmetic number, because the mean of its divisors is an integer number (6863598).

Almost surely, 2229466848 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 229466848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247089528).

229466848 is an abundant number, since it is smaller than the sum of its proper divisors (264712208).

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

229466848 is a wasteful number, since it uses less digits than its factorization.

229466848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 447 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 49.

The square root of 229466848 is about 15148.1631889810. The cubic root of 229466848 is about 612.2187834693.

The spelling of 229466848 in words is "two hundred twenty-nine million, four hundred sixty-six thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 151 169 208 281 302 338 416 562 604 676 1124 1208 1352 1963 2248 2416 2704 3653 3926 4496 4832 5408 7306 7852 8992 14612 15704 25519 29224 31408 42431 47489 51038 58448 62816 84862 94978 102076 116896 169724 189956 204152 339448 379912 408304 551603 678896 759824 816608 1103206 1357792 1519648 2206412 4412824 7170839 8825648 14341678 17651296 28683356 57366712 114733424 229466848