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229552704 = 263444281
BaseRepresentation
bin11011010111010…
…11001001000000
3120222221111010000
431223223021000
5432231141304
634440040000
75455110603
oct1553531100
9528844100
10229552704
11108638387
1264a63000
1338733804
14226b633a
1515245939
hexdaeb240

229552704 has 70 divisors (see below), whose sum is σ = 680481494. Its totient is φ = 76515840.

The previous prime is 229552703. The next prime is 229552711. The reversal of 229552704 is 407255922.

It is a happy number.

229552704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 167961600 + 61591104 = 12960^2 + 7848^2 .

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

It is not an unprimeable number, because it can be changed into a prime (229552703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16957 + ... + 27324.

Almost surely, 2229552704 is an apocalyptic number.

229552704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

229552704 is an abundant number, since it is smaller than the sum of its proper divisors (450928790).

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

229552704 is an equidigital number, since it uses as much as digits as its factorization.

229552704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44305 (or 44286 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 229552704 is about 15150.9967988908. The cubic root of 229552704 is about 612.2951287049.

The spelling of 229552704 in words is "two hundred twenty-nine million, five hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 44281 88562 132843 177124 265686 354248 398529 531372 708496 797058 1062744 1195587 1416992 1594116 2125488 2391174 2833984 3188232 3586761 4250976 4782348 6376464 7173522 8501952 9564696 12752928 14347044 19129392 25505856 28694088 38258784 57388176 76517568 114776352 229552704