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229706016 = 2536771503
BaseRepresentation
bin11011011000100…
…00100100100000
3121000020021102020
431230100210200
5432301043031
634443221440
75456316561
oct1554204440
9530207366
10229706016
11108732591
1264b17880
1338788527
1422716168
1515276096
hexdb10920

229706016 has 96 divisors (see below), whose sum is σ = 621831168. Its totient is φ = 74215680.

The previous prime is 229705997. The next prime is 229706021. The reversal of 229706016 is 610607922.

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

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, 456421 + ... + 456923.

It is an arithmetic number, because the mean of its divisors is an integer number (6477408).

Almost surely, 2229706016 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 229706016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310915584).

229706016 is an abundant number, since it is smaller than the sum of its proper divisors (392125152).

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

229706016 is a wasteful number, since it uses less digits than its factorization.

229706016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 229706016 is about 15156.0554234933. The cubic root of 229706016 is about 612.4314101175.

The spelling of 229706016 in words is "two hundred twenty-nine million, seven hundred six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 71 96 134 142 201 213 268 284 402 426 503 536 568 804 852 1006 1072 1136 1509 1608 1704 2012 2144 2272 3018 3216 3408 4024 4757 6036 6432 6816 8048 9514 12072 14271 16096 19028 24144 28542 33701 35713 38056 48288 57084 67402 71426 76112 101103 107139 114168 134804 142852 152224 202206 214278 228336 269608 285704 404412 428556 456672 539216 571408 808824 857112 1078432 1142816 1617648 1714224 2392771 3235296 3428448 4785542 7178313 9571084 14356626 19142168 28713252 38284336 57426504 76568672 114853008 229706016