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229706960 = 24571921589
BaseRepresentation
bin11011011000100…
…00110011010000
3121000020022201012
431230100303100
5432301110320
634443230052
75456322410
oct1554206320
9530208635
10229706960
1110873326a
1264b18328
1338788aa2
1422716640
15152764c5
hexdb10cd0

229706960 has 80 divisors (see below), whose sum is σ = 642518400. Its totient is φ = 74608128.

The previous prime is 229706921. The next prime is 229706987. The reversal of 229706960 is 69607922.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155 + ... + 21434.

It is an arithmetic number, because the mean of its divisors is an integer number (8031480).

Almost surely, 2229706960 is an apocalyptic number.

229706960 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 229706960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321259200).

229706960 is an abundant number, since it is smaller than the sum of its proper divisors (412811440).

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

229706960 is a wasteful number, since it uses less digits than its factorization.

229706960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21628 (or 21622 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 41.

The square root of 229706960 is about 15156.0865661291. The cubic root of 229706960 is about 612.4322490659.

The spelling of 229706960 in words is "two hundred twenty-nine million, seven hundred six thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 5320 10640 21589 43178 86356 107945 151123 172712 215890 302246 345424 410191 431780 604492 755615 820382 863560 1208984 1511230 1640764 1727120 2050955 2417968 2871337 3022460 3281528 4101910 5742674 6044920 6563056 8203820 11485348 12089840 14356685 16407640 22970696 28713370 32815280 45941392 57426740 114853480 229706960