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229378848 = 2537173461
BaseRepresentation
bin11011010110000…
…00101100100000
3120222121122121220
431223000230200
5432210110343
634432215040
75453454666
oct1553005440
9528548556
10229378848
111085297a6
126499a480
13386a263a
142266cc36
151520e183
hexdac0b20

229378848 has 96 divisors (see below), whose sum is σ = 620307072. Its totient is φ = 74188800.

The previous prime is 229378829. The next prime is 229378861. The reversal of 229378848 is 848873922.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2293788482 = 105229311819614208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 229378848.

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 15 ways as a sum of consecutive naturals, for example, 497338 + ... + 497798.

It is an arithmetic number, because the mean of its divisors is an integer number (6461532).

Almost surely, 2229378848 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 229378848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310153536).

229378848 is an abundant number, since it is smaller than the sum of its proper divisors (390928224).

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

229378848 is a wasteful number, since it uses less digits than its factorization.

229378848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 610 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The square root of 229378848 is about 15145.2582678540. The cubic root of 229378848 is about 612.1405119718.

The spelling of 229378848 in words is "two hundred twenty-nine million, three hundred seventy-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 73 96 142 146 213 219 284 292 426 438 461 568 584 852 876 922 1136 1168 1383 1704 1752 1844 2272 2336 2766 3408 3504 3688 5183 5532 6816 7008 7376 10366 11064 14752 15549 20732 22128 31098 32731 33653 41464 44256 62196 65462 67306 82928 98193 100959 124392 130924 134612 165856 196386 201918 248784 261848 269224 392772 403836 497568 523696 538448 785544 807672 1047392 1076896 1571088 1615344 2389363 3142176 3230688 4778726 7168089 9557452 14336178 19114904 28672356 38229808 57344712 76459616 114689424 229378848