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229705484176 = 2472171172
BaseRepresentation
bin1101010111101110000…
…0111000011110010000
3210221220120101122010001
43111323200320132100
512230414100443201
6253305241415344
722411213254100
oct3257340703620
9727816348101
10229705484176
1189465837123
1238627a9a554
131887968674c
14b191383200
155e962c4301
hex357b838790

229705484176 has 45 divisors (see below), whose sum is σ = 517746561969. Its totient is φ = 98439456192.

The previous prime is 229705484101. The next prime is 229705484179. The reversal of 229705484176 is 671484507922.

The square root of 229705484176 is 479276.

It is a perfect power (a square), and thus also a powerful number.

229705484176 is digitally balanced in base 2 and base 3, because in such bases 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., 241491600 + 229463992576 = 15540^2 + 479024^2 .

It is not an unprimeable number, because it can be changed into a prime (229705484179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13411170 + ... + 13428286.

Almost surely, 2229705484176 is an apocalyptic number.

229705484176 is the 479276-th square number.

It is an amenable number.

229705484176 is an abundant number, since it is smaller than the sum of its proper divisors (288041077793).

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

229705484176 is an frugal number, since it uses more digits than its factorization.

229705484176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34256 (or 17126 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 55.

The spelling of 229705484176 in words is "two hundred twenty-nine billion, seven hundred five million, four hundred eighty-four thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 17117 34234 68468 119819 136936 239638 273872 479276 838733 958552 1677466 1917104 3354932 6709864 13419728 292991689 585983378 1171966756 2050941823 2343933512 4101883646 4687867024 8203767292 14356592761 16407534584 28713185522 32815069168 57426371044 114852742088 229705484176